| OUTCOME/
ESSENTIAL
QUESTION |
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What are some various strategies in problem solving?
What is the basic order of operations and why do I
need to know them?
How can recognizing patterns help me to solve
problems?
Why is it important that I be able to communicate
orally and written my thoughts or findings?
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Perform a series of calculations
Using formulas
Discovering patterns and regularities
Applying order of operations and related skills
Associative, commutative properties |
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Describe and perform calculations using arrow string and
arithmetic tree. (N.B1,A2A)
Apply and interpret simple formulas (N.B4,K2H)
Apply basic order of operations. (N.B4,A1)
Generalize and communicate mathematical findings.
(N.B2,A1A-B)
Describe, generalize, communicate mathematical
findings. |
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Formative
Summative
Class discussion
Teacher observation
Section assessment |
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What are percents and what do they mean?
What is the relationship between fraction, ratio,
and a percent?
Describe, generalize, communicate mathematical
findings. |
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Recognizing percents as rational numbers or proportions
Relating percents to fractions and ratios
Using percents in situations of comparison and
simple growth |
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Use benchmark percentages to estimate percentages.
Recognize relationship between a fraction, a ratio,
and a percent (N.B1.K4)
Recognize and continue a pattern (A.B1,K4)
Estimate and predict reasonable answers (N.B3.A2)
Describe, generalize, communicate mathematical
findings. |
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Formative
Summative
Class discussion
Teacher observation
Section assessment |
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Why do I need to know measurements and equivalents?
How can I solve problems using measurement?
Describe, generalize, communicate mathematical
findings. |
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Compute area
Understand/apply metric system
Explore concept of area vs. perimeter
Use concept of area, perimeter, and volume to solve
realistic problems
Scale drawings |
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Identify, describe, classify geometric figures
Estimate, compute areas of polygons/geometric
figures (G.B2,A-1A)
Use transformations to analyze geometric figure
(G.B3,K1)
Describe, generalize, communicate mathematical
findings. |
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Formative
Summative
Class discussion
Teacher observation
Section assessment |
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What are some different strategies that I can use to solve
problems?
Why is it important to be able to organize and
communicate a solution process to others?
Describe, generalize, communicate mathematical
findings. |
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Investigate patterns
Use informal strategies to solve equations
Develop reasoning skills for solving equations
Describe solution processes |
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Use pictures, words, symbols, exchanging, substituting to solve
problems (A,B1,K4)
Interpret and use combination charts, notebook
notation, and equations (A,B3,K1)
Describe, generalize, communicate mathematical
findings. |
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Teacher observation Formative assessment
Summative assessment
End of section assessment
Class discussion |
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Why do I need to know fractions?
How can I perform mathematical operations with
fractions?
Describe, generalize, communicate mathematical
findings. |
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Comparing fractions
Adding, subtracting, and multiplying fractions
Using fractions, percents, ratios, and decimals |
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Find a fraction of a number
Use several strategies to add, subtract, and compare
fractions (N.B4,K2F)
Change and compare fractions, decimals, ratios, and
percents from one to another (N.B1,K2)
Understand the relationships among fractions,
decimals, percents, and ratios. (N.B4,A)
Describe, generalize, communicate mathematical
findings. |
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Teacher observation Formative assessment
Summative assessment
End of section assessment
Class discussion |
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How do I use percents, fractions, and decimals?
How do I multiply fractions and decimals?
Describe, generalize, communicate mathematical
findings. |
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Use percents, fractions, and decimals
Multiplying fractions and decimals |
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Relate percentages to fractions and decimals (N,B2,A2)
Multiply fractions, decimals (N,B1,K1,A1)
Find a percent of a number
Calculate discount and price, tax, total price
Describe, generalize, communicate mathematical
findings. |
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Teacher observation Formative assessment
Summative assessment
End of section assessment
Class discussion |
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How do I convert in the metric system?
Describe, generalize, communicate mathematical
findings. |
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| The difference between the various metric measurements |
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Convert from one unit of measure to another (G,B2,3b)
Describe, generalize, communicate mathematical
findings. |
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Teacher observation Formative assessment
Summative assessment
End of section assessment
Class discussion |
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How do I divide whole numbers and express remainders?
How do I write an equation?
What is a: right, obtuse, acute, scalene, isosceles,
equilateral angle?
How can I coordinate plane and coordinate apply in a
variety of situations?
Describe, generalize, communicate mathematical
findings. |
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Division with multiple number divisors and dividends
Develop strategy to represent real-world problems
using variables and symbols
Possible outcomes resulting from independent events
Represent the probability of a simple event using
fractions and decimals |
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Divide whole numbers and express remainders as whole number,
fraction, or decimal. (N.B4,K2A-I)
Write and solve one-step equations (A.B2,A1b)
List all possible outcomes (D,B1,K2)
Express probability through manipulatives (D.B1,K4) |
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