Grade 3
|
2002 |
2003 |
2004 |
2005 |
2006 |
|
Problem Solving |
Problem Solving |
Problem Solving |
Problem Solving |
Problem Solving |
|
T#6Q1- COINS ICON (Measurement,
Computation) 2.5.12 Find the value of a collection of pennies, nickels,
dimes, quarters, half-dollars, and dollars 2.2.2 Add two whole numbers less than 100 with and w/o
regrouping |
T#6Q3 (Computation,
Algebra) 2.3.1 Relate problem situations to number sentences involving
addition and subtraction 2.2.4 Understand and use the inverse relationship between
addition and subtraction 2.6.4 Make precise calculations and check the validity of the
results in the context of the problem |
T#6Q3 (Computation,
Computation) 2.2.2 Add two whole numbers less than 100 with and w/o
regrouping 2.2.4 Understand and use the inverse relationship between
addition and subtraction 2.6.4 Make precise calculations and check the validity of the
results in the context of the problem |
T#6Q2 (Number Sense,
Computation) 2.1.12 Represent, compare, and interpret data using data using
tables, tally charts, and bar graphs 2.2.2 Add two whole numbers less than 100 with and w/o
regrouping 2.6.1Choose the approach, materials, and strategies to use in
solving problems |
T#6Q1 (Number Sense,
Algebra) 2.1.6 Match the number names (first, second, third, etc.) with
an ordered set of up to 100 items 2.3.3 Recognize and extend a linear pattern by its rules. 2.6.3 Explain the reasoning used and justify the procedures selected
in solving a problem |
|
T#6Q4(Geometry, Computation) 2.4.2
Describe, classify, and sort plane and solid geometric shapes according to
number and shape of faces, and the # of edges and vertices 2.2.2
Add two whole numbers less than 100 with and w/o regrouping 2.6.1
Choose the approach, materials, and strategies to use in solving problems |
T#6Q4 (Number Sense, Computation) 2.1.4
Name the number that is ten more or ten less than any number 10 through 90 2.2.2
Add two whole numbers less than 100 with and w/o regrouping 2.6.4
Make precise calculations and check the validity of the results in the
context of the problem |
T#6Q5 (Measurement, Number Sense) 2.5.10
Know relationships of time: seconds in a minute, minutes in an hour, hours in
a day, days in a week, and days, weeks, and months in a year 2.1.12
Represent, compare, and interpret data using tables, tally charts, and bar
graphs 2.6.4
Make precise calculations and check the validity of the results in the
context of the problem |
T#6Q3 (Algebra, Measurement) 2.3.4
Create, describe, and extend number patterns using addition and subtraction 2.5.10
Know relationships of time: seconds in a minute, minutes in an hour, hours in
a day, days in a week, and days, weeks, and months in a year 2.6.1
Choose the approach, materials, and strategies to use in solving problems |
T#6Q3 (Number Sense, Algebra,
Geometry) 2.1.11 Collect &
record numerical data in systematic ways 2.3.3
Recognize and extend a linear pattern by its rules 2.4.2
Describe, classify, and sort plane and solid geometric shapes according to
number and shape of faces, and the # of edges and vertices 2.6.5
Understand and use connections between two problems |
|
T#6Q1 -PS
(Measurement & Computation) 2.2.3 – Subtract two whole
numbers less than 100 without regrouping. 2.5.12 – Find the value of
a collection of pennies, nickels, dimes, quarters, half-dollars, and dollars. 2.6.2- Use tools such as
objects or drawings to model problems. 2.6.4
– Make precise calculations and check validity of the results in the context
of the problem. |
T#6Q3 - PS (Computation & Algebra) 2.2.2 – Add two whole
numbers less than 100 than with and without regrouping. 2.2.3 – Subtract two
whole numbers less than 100 without regrouping. 2.3.1 – Relate
problem situations to number sentences involving addition and subtraction. 2.6.4
– Make precise calculations and check the validity of the results in the
context of the problem. |
T#6Q3
- PS (Computation – Computation) 2.2.2 – Add two whole numbers less than 100 with and without regrouping. 2.2.3 – Subtract two whole numbers less than 100 without regrouping. 2.6.4 – Make precise calculations and check the validity of the results in the context of the problem.
|
T#6Q2 - PS ( Number
Sense & Computation) 2.1.12 – Represent,
compare, and interpret data using tables, tally charts, and bar graphs. 2.2.2 – Add two whole
numbers less than 100 with and without regrouping. 2.6.4 – Make precise
calculations and check the validity of the results in the context of the
problem.
|
|
|
T#6Q5 ( Number Sense, Algebra) 2.1.6
Match the number names (first, second, third, etc.) with an ordered set of up
to 100 items 2.3.3 Recognize and extend a linear pattern
by its rules. 2.6.1
Choose the approach, materials, and strategies to use in solving problems |
T#6Q5
(Number Sense, Algebra) 2.3.1
Relate problem situations to number sentences involving addition and
subtraction 2.1.12
Represent, compare, and interpret data using tables, tally charts, and bar
graphs 2.6.3
Explain the reasoning used and justify the procedures selected in solving a
problem |
T#6Q6 (Measurement, Computation) 2.5.8
Estimate temperature. Read a thermometer in Celsius and Fahrenheit 2.2.3
Subtract two whole numbers less than 100 w/o regrouping 2.6.1
Choose the approach, materials, strategies
in solving problems |
T#6Q4 (Number Sense, Number Sense) 2.1.7
ID odd and even numbers up to 100 2.1.5
Compare whole numbers up to 100 and arrange them in numerical order 2.6.3
Explain the reasoning used and justify the procedures selected in solving a
problem |
T#6Q4 (Computation, Measurement) 2.5.12
Find the value of a collection of pennies, nickels, dimes, quarters,
half-dollars, and dollars 2.2.2
Add two whole numbers less than 100 with and w/o regrouping 2.2.3
Subtract two whole numbers less than 100 w/o regrouping 2.6.3
Explain reasoning used and justify the procedures selected in solving a
problem |
|
T#6Q6 (Number Sense, Number Sense) 2.1.7
Identify odd and even numbers up to 100 2.1.11
Collect and record numerical data in systematic ways 2.6.3
Explain the reasoning used and justify the procedures selected in solving a
problem |
T#6Q6 (Number Sense, Algebra) 2.1.11
Collect and record numerical data in systematic ways 2.3.4
Create, describe, and extend number patterns using addition and subtraction 2.6.3
Explain the reasoning used and justify the procedures selected in solving a
problem |
T#6Q7 (Number Sense, Computation) 2.1.12
Represent, compare, and interpret data using tables, tally charts, and bar
graphs 2.2.3
Subtract two whole numbers less than 100 w/o regrouping 2.6.3
Explain the reasoning used and justify the procedures selected in solving a
problem |
T#6Q6 (Measurement, Measurement) 2.5.9
Tell time to the nearest quarter hour, be able to tell five-minute intervals,
and know the difference between a.m. and p.m. 2.5.11
Find the duration of intervals of time in hours 2.6.2
Use tools such as objects or drawings to model problems |
T#6Q6 (Number Sense, Geometry) 2.4.2 Describe, classify, & sort plane &
solid geometric shapes according to number & shape of faces, & # of edges & vertices 2.1.11
Collect & record numerical data in systematic ways 2.6.3
Explain the reasoning used and justify the procedures selected in solving a
problem |
Grade 4
|
2004 |
2005 |
2006 |
|
Problem Solving |
Problem Solving |
Problem Solving |
|
T#7Q2 (Computation, Measurement) 3.2.1 Add and
subtract whole numbers up to 1,000 with or w/o regrouping, using relevant
properties 3.5.12 Carry out
simple unit conversions within a measurement system. 3.6.4 Express solutions clearly and logically by using the
appropriate mathematical terms and notation Support solutions with evidence
in both verbal and symbolic work |
T#7Q3 (Computation,
Computation, Algebra) 3.2.1 Add and subtract whole numbers up to
1,000 with or w/o regrouping, using relevant properties 3.2.5 Show mastery of
multiplication facts for 2, 5, and 10.
3.3.2 Solve problems
involving numeric equations 3.6.1 Analyze
problems by identifying relationships, telling relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns |
T#7Q2 (Number Sense,
Computation) 3.1.5 Compare whole
numbers up to 1,000 and arrange them in numerical order 3.2.1 Add and
subtract whole numbers up to 1,000 with or without regrouping, using relevant
properties of the number system 3.6.1 Analyze
problems by identifying relationships, telling relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns |
|
T#7Q4 (Measurement,
Computation) Pattern
Block Icon 3.5.4 Estimate or find the area of shapes by covering them with
squares 3.2.1 Add and subtract whole numbers up to 1,000 with or w/o
regrouping, using relevant properties of the number system 3.6.2 Decide when and how to break a problem into simpler parts |
T#7Q4 (Computation,
Measurement) 3.5.10 Find the value of any collection of coins and bills.
Write amounts less than a dollar using the cent symbol and larger amounts in
decimal notation using the $ symbol 3.2.1 Add and subtract whole numbers up to 1,000 with or without
regrouping, using relevant properties 3.6.2 Decide when and how to break a problem into simpler parts |
T#7Q3 (Measurement,
Computation) 3.2.1 Add and subtract whole numbers up to 1,000 with or without
regrouping, using relevant properties 3.5.12 Carry out simple unit conversions within a measurement system 3.6.1 Analyze problems by identifying relationships, telling
relevant from irrelevant information, sequencing and prioritizing
information, and observing patterns |
|
T#8Q3 (Computation,
Algebra) 3.3.1 Represent relationships of quantities in the form of a
numeric expression or equation 3.2.1 Add and subtract whole numbers up to 1,000 with or w/o
regrouping, using relevant properties of the number system 3.2.7 Use estimation to decide whether answers are reasonable in
addition and subtraction problems 3.6.8 Decide whether a solution is reasonable in the context of
the original situation |
T#8Q3(Computation,
Measurement, Algebra) 3.5.9 Tell time to the nearest minute and find how much time has
elapsed 3.3.2 Solve problems involving numeric equations 3.2.1 Add and subtract whole numbers up to 1,000 with or w/o
regrouping, using relevant properties of the number system 3.6.7 Make precise calculations and check the validity of the
results in the context of the problems |
T#8Q3 (Computation, Algebra) 3.3.5 Create, describe, and extend number patterns using
multiplication 3.2.1 Add & subtract whole numbers up to 1,000 with/without
regrouping, using relevant properties of number system 3.5.12 Carry out simple unit conversions within a measurement
system 3.6.1 Analyze problems identifying relationships, telling
relevant/ irrelevant information, sequencing and prioritizing information,
& observing patterns 3.6.2 Decide when and how to break a problem into simpler parts |
|
T#8Q5 (Computation,
Algebra) 3.2.1 Add and subtract
whole numbers up to 1,000 with or w/o regrouping, using relevant properties
of the number system 3.3.1 Represent relationships of quantities in the form of a
numeric expression or equation 3.6.1 Analyze problems by identifying relationships, telling relevant
from irrelevant information, sequencing and prioritizing information, and
observing patterns |
T#8Q4 (Measurement,
Algebra) 3.5.12 Carry out simple unit conversions within a measurement
system. 3.3.6 Solve simple problems involving a functional relationship
between two quantities 3.6.2 Decide when and how to break a problem into simpler parts 3.6.6 Know and use strategies for estimating results of
whole-number addition and subtraction |
T#8Q5 Computation,
Measurement 3.5.4 Estimate or find the area of shapes by covering them with
squares 3.2.1 Add and subtract whole numbers up to 1,000 with or without
regrouping, using relevant properties of the number system 3.6.4 Express solutions clearly and logically by using the
appropriate mathematical terms and notation. Support solutions with evidence
in both verbal and symbolic work |
|
T#8Q6 (Algebra,
Computation) 3.3.2 Solve problems involving numeric equations 3.2.5 Show mastery of multiplication facts for 2, 5, and 10 3.6.1 Analyze problems by identifying relationships, telling
relevant from irrelevant information, sequencing and prioritizing
information, and observing patterns |
|
|
Grade 5
|
2004 |
2005 |
2006 |
|
Problem
Solving |
Problem
Solving |
Problem
Solving |
|
T#7Q2 (Measurement,
Computation) 4.5.2
Determining monetary change 4.2.2
Adding and Subtracting decimals 4.7.8
Make precise calculations and check for accuracy |
T#7Q3(Computation,
Number Sense, Number Sense) 4.2.6
Use a standard algorithm to divide numbers up to 100 by numbers up to 10,
using relevant properties of number system 4.1.5
Rename and rewrite whole numbers as fractions 4.1.6
Name and write mixed numbers, using objects or pictures 4.7.1
Analyze a problem by identifying relationships, telling relevant from
irrelevant information, sequencing and prioritizing information and observing
patterns |
(Computation, Measurement) T#7Q4 4.2.9 Add and subtract decimals 4.5.10
Determine the amount of change from a purchase 4.7.7
Know and use method of estimating whole numbers 4.7.5
Explain in words how you got the answer |
|
T#7Q4 (Algebra and Functions,
Computation) 4.3.5
Patterns with multiplication and division 4.2.6
Dividing two digit number by a one digit number with no remainder |
T#7Q4 (Computation, Measurement) 4.2.5
Use a standard algorithm to multiply to 100 by numbers to 10, using relevant
properties of number system 4.5.10
Determine amount of change from a purchase 4.7.1
Analyze a problem by identifying relationships, telling relevant from
irrelevant information, sequencing & prioritizing information &
observing patterns |
T#7Q7(Geometry, Measurement) 4.4.5
Draw a line of symmetry 4.5.3.Use
formula given to find perimeter of a rectangle 4.7.1 Analyzing problems by identifying
relationships |
|
T#7#7 (Algebra Functions, Computation)
4.3.7 Write a number sentence using
multiplication and division 4.7.5
Explain in words how you got the answer |
T#7Q6 (Computation, Measurement) 4.2.5
Use a standard algorithm to multiply up to 100 by numbers up to 10, using
relevant properties of the number system 4.5.3
Know and use formulas for finding the areas of rectangles and squares 4.7.2
Decide when and how to break a problem into simpler parts |
T#8Q3(Computation, Measurement) 4.5.9
Add time
intervals 4.2.5
Multiply a two digit number 4.7.1
1 Analyzing problems by identifying relationships |
|
T#8Q2(Algebra, Computation) 4.2.6 Divide two digit by a one digit number with no
remainder 4.3.7
Write a number sentence using multiplication & division 4.7.5
Describe in words how you got answer |
T#8Q4(Computation, Computation, Number
Sense) 4.2.5 Use a standard
algorithm to multiply to 100 by numbers
to 10, using relevant properties of number system 4.2.1
Understand and use standard algorithm for addition and subtraction 4.1.5
Rename and rewrite whole numbers as fractions 4.7.2
Decide when and how to break a problem into simpler parts |
T#8Q5 (Measurement, Measurement) 4.5.9
Add time intervals 4.7.1
Analyze problem by identifying relationships 4.7.5
Express solution clearly |
|
T#8Q6(Algebra Function,
Computation) 4.2.6 Divide two digit by a one digit number with no
remainder 4.3.7
Write a number sentence using Multiplication
and division 4.7.8
Make precise calculations and check for accuracy |
T#8Q7 (Computation, Computation,
Number Sense)4.2.1 Understand and
use standard algorithm for addition & subtraction 4.2.6
Divide two digit by a one digit number with no remainder 4.1.7
Name & write mixed numbers as improper fractions, using objects or
pictures. 4.7.8
Make precise calculations & check for accuracy |
|
Grade 6
|
2002 |
2003 |
2004 |
2005 |
2006 |
|
Problem
Solving |
Problem
Solving |
Problem
Solving |
Problem
Solving |
Problem
Solving |
|
T#3Q2 (Algebra/Measurement) 5.3.2
Substitution of simple expression 5.5.7
Add/Subtract money in decimal notation 5.7.7
Make precise calculations |
T#7Q2(Computation/Computation) 5.2.1
Solve problems involving multiplication & division of whole
numbers 5.7.1
Sequencing and prioritizing information 5.7.2
How to break into simpler parts 5.7.7
Check validity |
T#7Q3 (Number Sense & Computation) 5.1.3
arrange in numerical order decimals 5.2.5
Add/Subtract decimals and verify reasonable results |
T#7Q4(Measurement
& Computation) 5.2.1
Solve problem involving multiplication 5.5.2
Area of rectangle 5.7.1
Tell relevant from irrelevant 5.7.7
Precise calculations |
T#7Q3 (Computation, Algebra,
Measurement) 5.5.1
Solve problems involving area of rectangle 5.3.7
Use information from graph or equation to answer questions about problem situation 5.2.1
Solve problems involving multiplication & division 5.7.2
How to break into simpler parts |
|
T#3Q5(Computation/Computation)5.2.1/5.2.6 Estimate answer and explain its
incorrectness 5.7.2
How to break into simpler part |
T#7Q6 (Computation/ Data Analysis) 5.6.2 Mean of list of #s 5.7.7
Apply information to chart |
T#7Q5 (Computation, Computation)5.2.5 Add and subtract decimals 5.7.2
Decide when and how to break problem into simpler parts 5.2.4
Multiply & divide fractions |
T#7Q7 (Measurement, Computation) 5.5.7 Add
money w/decimal notation 5.2.1
Solve problems involving division 5.7.7
Exact calculation |
T#8Q2 (Computation, Algebra) 5.3.2 Evaluate two variables w/substitution 5.2.7
Add/Subtract decimals and verify reasonableness |
|
T#3Q5(Computation/Computation)5.2.1/5.2.6 Estimate answer and explain its
incorrectness 5.7.2
How to break into simpler part |
T#7Q6 (Computation/ Data Analysis) 5.6.2 Mean of list of #s 5.7.7
Apply information to chart |
T#7Q5 (Computation, Computation)5.2.5 Add and subtract decimals 5.7.2
Decide when and how to break problem into simpler parts 5.2.4
Multiply & divide fractions |
T#7Q7 (Measurement, Computation) 5.5.7 Add
money w/decimal notation 5.2.1
Solve problems involving division 5.7.7
Exact calculation |
T#8Q2 (Computation, Algebra) 5.3.2 Evaluate two variables w/substitution 5.2.7
Add/Subtract decimals and verify reasonableness |
|
T#4Q7(Computation/Measurement) 5.2.5/5.2.6 Add decimals 5.5.7
Add/subtract with money in decimal notation 5.7.7
Estimate/Precise Calculations |
T#4Q7(Computation/Measurement) 5.2.5/5.2.6 Add decimals 5.5.7
Add/subtract with money in decimal notation 5.7.7
Estimate/Precise Calculations |
T#8Q6 (Algebra, Geometry) 5.3.5 Graph ordered pairs & draw line 5.4.2 ID & describe type of triangle 5.7.2
Break problem into simpler parts |
T#8Q6 (Measurement, Algebra) 5.5.7 Add & subtract money in decimal notation 5.3.2
substitution w/two variables |
T#8Q6(Computation, Measurement) 5.5.2 Solve problems using area of rectangle 5.2.4
Multiply fractions to solve problems 5.7.1
Sequence & prioritize 5.7.2
how to break into simpler part |
Grade 7
|
2004 |
2005 |
2006 |
|
Problem
Solving |
Problem Solving |
Problem Solving |
|
T#8Q2 (Computation, Measurement) 6.2.8
Calculate % of a quantity 6.5.10
Add, subtract, multiply, and divide with money in decimal notation 6.7.9
Make precise calculations and check validity |
T#7Q5 (Algebra, Measurement) 6.3.2
Write and use formulas with up to three variables to solve problems 6.5.1
Apply appropriate standard units & tools to measure length, area, volume,
weight, time, temperature, and size of angles 6.7.2
Make and justify mathematical conjectures based on a general description of a
mathematical question |
T#8Q2 (Computation, Algebra) 6.3.1
Write and solve one-step linear equations in one variable and check answers. 6.2.2 Multiply and divide positive integers 6.7.3
Decide when and how to break a problem into simpler parts |
|
T#8Q3 (Computation/Measurement) 6.2.5
Solve problems involving addition, subtraction, multiplication and division
of positive fractions and explain why operation was used. 6.3.2 Write and use formulas
with up to three variables (reference sheet) |
T#8Q3(Measurement, Measurement) 6.5.1
Apply appropriate standard units
and tools to measure length, area, volume, weight, time, temperature, &
size of angles 6.5.10
Add, subtract, multiply and divide money in decimal notation |
T#8Q5 (Computation, Measurement) 6.2.8 Calculate given percentages of
quantities and solve problems involving discount interest and tips 6.2.3
Multiply and divide decimals 6.5.10
Add subtract, multiply and divide with money in decimal notation 6.7.9
Make precise calculations & check validity |
|
T#8Q5 (Computation, Algebra) 6.2.5
Solve problems involving addition, subtraction, multiplication, and division
of positive fractions and explain way operation was used 6.3.2
Write & use formulas up to three variables |
T#8Q2 (Computation, Measurement) 6.2.8
Calculate percentages of quantities and solve problems involving discount,
interest, and tips 6.5.8
Strategies to find surface area & volume of right prisms and cylinders 6.7.3
Break problems into simpler parts |
T#8Q3 (Computation, Computation,
Measurement) 6.2.2 Multiply and
divide positive and negative integers 6.2.8
Calculate given percentages of quantities and solve problems involving
discounts at sales, interest earned, and tips 6.5.10
Add, subtract, multiply and divide with money in decimal notation |
|
T#8Q7 (Measurement, Measurement) 6.5.1
Apply appropriate standard units and tools to measure length, area, volume,
weight, time, temperature, & size of angles 6.5.10
Add, subtract, multiply, & divide with money in decimal notation 6.7.3
Break problem to simpler |
T#8Q5 (Computation,
Data Analysis) 6.2.8
Calculate percentages of quantities & solve problems involving discount,
interest and tips 6.6.1
Organize & display data in appropriate graphs & stem-&-leaf plots 6.7.3
Break problems into simpler parts 6.7.9
Make precise calculations/check validity |
T#8Q5 (Computation, Measurement) 6.2.3
Multiply and divide decimals 6.5.1
Apply appropriate standard units and tools to measure length, area, volume,
weight, time, temperature, and size of angles |
Grade 8
|
2002 |
2003 |
2004 |
2005 |
2006 |
|
Problem
Solving |
Problem
Solving |
Problem
Solving |
Problem
Solving |
Problem
Solving |
|
T#3Q2(Algebra and Functions)7.3.5 Solve equations with 2 variables for a
particular variable 7.7.12
Note the method of finding solution & show conceptual understanding of
method by solving like problems |
T#7Q3 (Geometry, Geometry) 7.4.1
Understand coordinate graphs and use them to plot simple shapes, find length
and areas related to the shapes 7.4.3
Know & use Pythagorean Theorem to find missing side of right triangle 7.7.6
Express solution clearly & logically using proper mathematical
terms. Support solution with verbal
& symbolic work |
T#7Q5(Number Sense, Measurement)7.5.4 Use formula to find perimeter of basic two
dimensional shapes 7.1.4
Understand and compute whole number powers of whole numbers 7.7.1
Analyze problems by identifying relationships, telling relevant from
irrelevant information 6.7.5
Express solutions clearly and logically by use correct math terms and
notations; support with evidence in verbal and symbolic work |
T#7Q6 (Algebra Functions Algebra Functions) 7.3.9 Identify functions as linear or non linear and
examine their characteristics in tables, graphs, and equations 7.3.10
Identify & describe situations with constant or varying rates of change
& know a constant rate of change describes linear function 7.7.10
Make precise calculations & validity of
results in context of problem |
T#7Q3 (Algebra and Functions Geometry) 7.3.6
Define slope as vertical change per unit of horizontal change & know that
a straight line has a constant slope of rate of change 7.4.1
Understand coordinate graphs & use them to plot simple shapes, find
length & areas related to shapes 7.7.3
Decide when & how to divide problem into simpler parts |
|
T#4Q1(Measurement, Computation) 7.5.4.
Using the formula to find the volume of basic 3 dimensional shapes 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals Combinations of the four operations 7.7.4.
Strategies and results from simpler problems to solve more complex problems |
T#8Q2(Computation, Measurement) 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals Combinations of the four operations 7.5.1
Compare lengths, areas, volumes, weights, capacities, times and temperatures
with in measurement system 7.7.1
Analyze problems by identifying relationships, telling relevant from
irrelevant information |
T#8Q3 (Measurement, Data Analysis) 7.5.4
Use formulas for finding perimeter and area of two dimensional shapes 7.6.4
Analyze data displays including ways that they can be misleading 7.7.1
Analyze problems by identifying relationships, telling relevant from
irrelevant information |
T#8Q2 (Computation, Measurement) 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals Combinations of the four operations 7.5.3
Read and create drawing made to scale, construct scale models, and solve
problems related to scale |
T#8Q3 (Computation, Measurement) 7.5.4
Use formulas to find volume of basic three dimensional shapes. 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals Combinations of the four operations 7.7.4
Apply strategies and results from simpler problems to solve more complex
problems |
|
T#4Q2(Measurement, Computation) 7.5.4 Use formula to find perimeter & area of
basic two dimension shapes 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals and
Combinations of four operations 7.7.6
Express solutions clearly and logically using appropriate mathematical terms
and notation and show work |
T#8Q3 (Computation, Algebra) 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals Combinations of the four operations 7.3.1
Use variables and appropriate operations to write an expression, formula,
equation or inequity that represents a verbal description 7.7.4.
Strategies and results from simpler problems to solve more complex problems |
T#8Q5 (Measurement, Computation) 7.5.5 Compute area of more complex two dimensional
shapes 7.2.3
Solve problems that involve discounts, mark ups, and commissions 7.7.1
Analyze problems by identifying relationships by telling relevant from
irrelevant information identifying missing information, sequencing and
prioritizing information and observing patterns |
T#8Q4 (Measurement, Measurement) 7.5.1 Compare lengths, areas, volumes, weights,
capacities, times and temperature within measurement systems. 7.5.4.
Using the formula to find the volume of basic 3 dimensional shapes 7.7.3
Decide when and how to divide a problem into simpler parts 7.7.4
Apply strategies and results from simpler problems to solve more complex
problems |
T#8Q5 (Computation, Measurement) 7.5.4 Use formulas for finding perimeter and area of
two dimensional shapes 7.2.1
Solve addition subtraction multiplication and division that use integers
fractions decimals Combinations of the four operations 7.7.4
Apply strategies and results from simpler problems to solve more complex
problems |
|
T#4Q3(Measurement, Computation) 7.5.4 Use a formula to find area of basic two
dimensional shape 7.2.1
Solve addition subtraction multiplication & division that use integers
fractions decimals and
combinations of four operations 7.7.3
Decide when & how to Divide
a problem/simpler parts |
T#8Q5 (Measurement, Measurement) 7.5.2 Use experimentation and modeling to visualize
similarity problems. Solve problems
using similarity 7.5.4
Use formula to find perimeter & area of basic two dimension shapes 7.7.6
Express solution clearly and logically by using correct mathematical
terms. Support solution with verbal
and symbolic work |
T#8Q6 (Computation, Measurement) 7.5.3 Read and create drawings made to scale,
construct scale models and solve problems related to scale 7.2.2
Calculate the percentage of increase and decrease of quantity 7.7.1
Analyze problems by identifying relationships by telling relevant from
irrelevant information identifying missing information, sequencing and
prioritizing information and observing pattern |
T#8Q7 (Geometry, Measurement) 7.5.3 Read and create drawings made to scale,
construct scale models and solve problems related to scale 7.4.3
Use Pythagorean Theorem to find length of missing side of right triangle 7.7.10
Make precise calculations and check the
validity of the results in the context of the problem |
T#8Q6 (Computation, Measurement) 7.5.1 Compare lengths, areas, volumes, weights,
capacities, times and temperature within measurement systems. 7.2.3
Solve problems that involve discounts, mark ups, and commissions 7.7.4
Apply strategies and results from simpler problems to solve more complex
problems |
Grade 9
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2004 |
2005 |
2006 |
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Problem
Solving |
Problem
Solving |
Problem
Solving |
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T#7Q2 (Algebra,
Algebra) 8.3.2
Solve systems of two linear equations using the substitution method 8.3.8
Demonstrate an understanding of the relationships among tables, equations,
verbal expressions, and graphs of linear functions 8.7.11
Decide whether a solution is reasonable in the context of the original
situation |
T#7Q3 (Algebra, Algebra) 8.3.2
Solve systems of two linear equations using substitution method 8.3.8 Demonstrate
understanding of the relationships among tables, equations, verbal
expressions, & graphs of linear functions 8.7.6
Express solutions clearly & logically by using appropriate mathematical
terms & notation Support solutions with evidence in both verbal &
symbolic work |
T#7Q6 (Number Sense & Number
Sense) 8.1.5 Use the laws of
exponents for integer exponents 8.1.7
Calculate & find approximation of square roots 8.7.6
Express solutions clearly and logically by using the appropriate the
mathematical terms and notation. Support solutions with evidence in both
verbal & symbolic work |
|
T#7Q4 (Computation,
Data Analysis Probability) 8.2.1 Add, subtract, multiply, & divide
rational numbers in multi-step problems 8.6.4
Analyze, interpret, & display single & two data appropriate bar,
line, circle graphs, stem-and-leaf plots, & box-and-whisker plots &
explain which types are appropriate for various data sets 8.7.1
Analyze problems by identifying relationships, relevant from irrelevant
information, ID missing information, sequencing and prioritizing information
and observing patterns |
T#7Q6 (Computation,
Measurement) 8.2.1 Add, subtract, multiply, and divide rational numbers
in multi-step problems 8.5.4
Use formulas for finding the perimeter, and area of basic 2D area and surface
area & volume of basic 3D shapes 8.7.2
Make & justify mathematical conjectures based on a general description of
a mathematical question or problem |
T#8Q3 (Geometry,
Measurement) 8.4.5
Use the Pythagorean Theorem and its converse to solve problems in 2 and 3
dimensions 8.5.5
Estimate and compute area and volume of irregular 2 & 3D shapes by
breaking shapes into more basic geometric objects 8.7.6
Express solutions clearly and logically by using the appropriate the
mathematical terms and notation. Support solutions with evidence in both
verbal and symbolic work |
|
T#8Q7 (Computation,
Measurement) 8.2.1
Add, subtract, multiply, and divide rational numbers in multi-step problems 8.5.4
Use formulas for finding the perimeter and area of basic 2D shapes &
surface area and volume of basic 3D shapes 8.7.10
Make precise calculations and check the validity of the results in the
context of the problem |
T#8Q1 (Computation,
Measurement) 8.2.1 Add, subtract, multiply, and divide
rational numbers in multi-step problems 8.5.4
Use formulas for finding the perimeter and area of basic 2D shapes &
surface area and volume of basic 3D shapes 8.7.6
Express solutions clearly & logically using appropriate mathematical
terms & notation Support solutions with evidence in both verbal and
symbolic work |
T#8Q5 (Computation,
Measurement) 8.2.1 Add, subtract, multiply, and divide
rational numbers in multi-step problems 8.5.1Convert
common measurements for length, area, volume, weight, capacity, and time to
equivalent measurements within the same system 8.7.10
Make precise calculations and check the validity of the results in the
context of the problem |
|
T#8Q8 (Measurement,
Measurement) 8.5.2
Solve simple problems involving rates and derived measurements for attributes
such as velocity and density 8.5.1Convert
common measurements for length, area, volume, weight, capacity, and time to
equivalent measurements within
the same system 8.7.11
Decide whether a solution is reasonable in the context of the original
situation |
T#8Q5 (Measurement,
Measurement, Measurement) 8.5.5
Estimate & compute area & volume of irregular 2 & 3D shapes by
breaking shapes into more basic geometric objects 8.5.1Convert
common measurements for length, area, volume, weight, capacity and time to
equivalent measurements within same system. 8.5.3
Solve problems involving scale factors, area and volume using ratio and
proportion 8.7.6
Express solutions clearly & logically using appropriate mathematical
terms & notation Support solutions with evidence in both verbal &
symbolic work 8.7.11
Decide if a solution is reason-able in context of original situation |
|