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Mr. Field Math

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Unit 1: Ratios and Proportional Relationships

1. Visualizing Ratios

Standards: CCSS.MATH.CONTENT.6.RP.A.3

  1. Ratios with tape diagrams
  2. Equivalent ratios with equal groups
  3. Create double number lines
  4. Ratios with double number lines


2. Equivalent Ratios

  1. Relate double number lines and ratio tables
  2. Ratios Quiz 1
  3. Ratio tables
  4. Equivalent ratios


3. Problem Solving with Ratios

  1. Equivalent ratio word problems
  2. Understand equivalent ratios in the real world
  3. Ratios Quiz 2

4. Part, Part, Whole Ratios

  1.  Ratios on coordinate plane
  2. Ratios and units of measurement
  3. Part-part-whole ratios

5. Ratios Interleaved Practice

  1. Ratios Quiz 3
  2. Ratios Unit Test

Unit 2 Arithmetic with rational numbers

6. Decimals and Fractions

  1. Adding & subtracting decimals word problems
  2. Arithmetic Quiz 1
  3. Divide fractions by whole numbers
  4. Dividing fractions

7. Dividing Fraction Word Problems

  1. Divide mixed numbers
  2. Interpret fraction division
  3. Dividing fractions word problems
  4. Arithmetic Quiz 2

8. Multiplying and Dividing Decimals

  1. Decimal multiplication place value
  2. Multiplying decimals like 0.847x3.54 (standard algorithm)
  3. Multi-digit division
  4. Dividing decimals: hundredths

9. Arithmetic Interleaved Practice

  1. Dividing decimals: thousandths
  2. Arithmetic Quiz 3
  3. Arithmetic Unit Test

Unit 3 Rates and Percentages

10. Rates

  1. Unit rates
  2. Rate problems
  3. Comparing rates
  4. Rates Quiz 1

11. Percents

  1.  Intro to percents
  2. Percents from fraction models 
  3. Find percents visually
  4. Rates Quiz 2

12. Finding Percent

  1. Equivalent representations of percent problems
  2. Benchmark percents
  3. Finding percents 
  4. Percent word problems

13. Percent Word Problems

  1. Rates Quiz 3
  2. Rates and Percents Unit Test

Unit 4 Exponents and Order of operations

14. Exponents

  1. Meaning of exponents
  2. Powers of whole numbers
  3. Powers of fractions & decimals
  4. Exponents Quiz 1

15. Order of Operations

  1. Order of operations
  2. Order of operations with fractions and exponents 
  3. Exponents and Order of Operations Quiz 2
  4. Exponents and Order of Operations Unit Test

Unit 5 Negative Numbers

16. Negative Numbers on the Number Line

  1. Negative numbers on the number line
  2. Interpreting negative numbers 
  3. Negative Numbers Quiz 1
  4. Compare rational numbers using a number line


17. Rational Numbers on the Number Line

  1.  Compare rational numbers
  2. Writing numerical inequalities
  3. Ordering rational numbers
  4. Negative Numbers Quiz 2

18. Absolute Rational Numbers Interleaved Practice

  1. Finding absolute values
  2. Comparing absolute values challenge 
  3. Absolute Value Quiz 3
  4. Negative Numbers Unit Test

Unit 6 Variables and Expressions

19. Algebraic Expressions

  1. Parts of algebraic expressions
  2. Variable expressions with exponents
  3. Evaluating expressions with multiple variables: fractions & decimals
  4. Expression value intuition

18. Writing Algebraic Expressions

  1. Evaluating expressions with variables word problems
  2. Algebraic Expressions Quiz 1
  3. Writing expressions with variables
  4. Writing basic expressions word problems

19. Least Common Multiples and Greatest Common Factors

  1. Algebraic Expressions Quiz 2
  2. Least Common Multiple
  3. Greatest common factor
  4. Factor with the distributive property (no variables)

20. The Distributive Property and Factoring

  1. Distributive property with variables
  2. Create equivalent expressions by factoring
  3. Factor with distributive property (variables)
  4. Combining like terms

21. Algebraic Expressions Interleaved Practice

  1. Equivalent expressions
  2. Algebraic Expressions Quiz 3
  3. Algebraic Expressions Unit Test

Unit 7 Equations

19. Algebraic Expressions

  1. Parts of algebraic expressions
  2. Variable expressions with exponents
  3. Evaluating expressions with multiple variables: fractions & decimals
  4. Expression value intuition

18. Writing Algebraic Expressions

  1. Evaluating expressions with variables word problems
  2. Algebraic Expressions Quiz 1
  3. Writing expressions with variables
  4. Writing basic expressions word problems

19. Least Common Multiples and Greatest Common Factors

  1. Algebraic Expressions Quiz 2
  2. Least Common Multiple
  3. Greatest common factor
  4. Factor with the distributive property (no variables)

20. The Distributive Property and Factoring

  1. Distributive property with variables
  2. Create equivalent expressions by factoring
  3. Factor with distributive property (variables)
  4. Combining like terms

21. Algebraic Expressions Interleaved Practice

  1. Equivalent expressions
  2. Algebraic Expressions Quiz 3
  3. Algebraic Expressions Unit Test

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