## Grade 7 Standards

Ratios and Proportional Relationships

• Analyze proportional relationships and use them to solve real-world and mathematical problems.

• Compute unit rates with ratios of fractions

• Recognize and represent proportional relationships

• Use proportional relationships to solve multi-step ratio and percent problems

The Number System

• Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

• Solve real-world and mathematical problems involving the four operations with rational numbers

Expressions and Equations

• Use properties of operations to generate equivalent expressions.

• Solving inequalities using the four operations

• Solving word problems using equations and inequalities

• Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Geometry

• Draw, construct and describe geometrical figures and describe the relationships between them.

• Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

• Apply knowledge of the different type of angles in multi-step problems to find missing angle measurements

Statistics and Probability

• Use random sampling to draw inferences about a population.

• Draw informal comparative inferences about two populations.

• Investigate chance processes and develop, use, and evaluate probability models.

• Finding probability of independent, dependent, and compound events.

Standards for Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

• Analyze proportional relationships and use them to solve real-world and mathematical problems.

• Compute unit rates with ratios of fractions

• Recognize and represent proportional relationships

• Use proportional relationships to solve multi-step ratio and percent problems

The Number System

• Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

• Solve real-world and mathematical problems involving the four operations with rational numbers

Expressions and Equations

• Use properties of operations to generate equivalent expressions.

• Solving inequalities using the four operations

• Solving word problems using equations and inequalities

• Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Geometry

• Draw, construct and describe geometrical figures and describe the relationships between them.

• Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

• Apply knowledge of the different type of angles in multi-step problems to find missing angle measurements

Statistics and Probability

• Use random sampling to draw inferences about a population.

• Draw informal comparative inferences about two populations.

• Investigate chance processes and develop, use, and evaluate probability models.

• Finding probability of independent, dependent, and compound events.

Standards for Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

## Textbooks

Books will be used to assist the students in understanding the common core.

Big Ideas Math- Big Ideas Learning

Chapter 1: Integers - Calculations using the four operations

Chapter 2: Rational numbers - Calculations using the four operations, applications of the properties to perform operations, converting to decimals

Chapter 3: Expressions and Equations - Solving equations using the operations, solving two step equations, adding and subtracting linear expressions

Chapter 4: Inequalities - Writing and graphing inequalities, Solving one-step inequalities involving integers and rational numbers, solving two step inequalities.

Chapter 5: Ratios and Proportions - Finding unit rates, identifying proportions, identifying constant of proportionality, slope, direct variation

Chapter 6: Percent - Compare fractions, decimals and percents, use proportions to solve percent problems, percents of decrease and increase, discounts and markups, simple interest

Chapter 7: Construction and scale drawings - apply vertical, adjacent, complementary, and supplementary angles, use scale drawing to compute lengths and area of shapes, understanding quadrilaterals

Chapter 8: Circles and area - calculating area and circumference of the circle, finding the perimeter and areas of composite shapes

Chapter 9: Surface area and Volume - finding the surface area and volume of prisms, cylinders, and pyramids

Chapter 10: Probability and Statistics - outcomes/events, empirical/theoretical probability, compound events, independent/dependent events, samples/populations.

Chapter 1: Integers - Calculations using the four operations

Chapter 2: Rational numbers - Calculations using the four operations, applications of the properties to perform operations, converting to decimals

Chapter 3: Expressions and Equations - Solving equations using the operations, solving two step equations, adding and subtracting linear expressions

Chapter 4: Inequalities - Writing and graphing inequalities, Solving one-step inequalities involving integers and rational numbers, solving two step inequalities.

Chapter 5: Ratios and Proportions - Finding unit rates, identifying proportions, identifying constant of proportionality, slope, direct variation

Chapter 6: Percent - Compare fractions, decimals and percents, use proportions to solve percent problems, percents of decrease and increase, discounts and markups, simple interest

Chapter 7: Construction and scale drawings - apply vertical, adjacent, complementary, and supplementary angles, use scale drawing to compute lengths and area of shapes, understanding quadrilaterals

Chapter 8: Circles and area - calculating area and circumference of the circle, finding the perimeter and areas of composite shapes

Chapter 9: Surface area and Volume - finding the surface area and volume of prisms, cylinders, and pyramids

Chapter 10: Probability and Statistics - outcomes/events, empirical/theoretical probability, compound events, independent/dependent events, samples/populations.

## Math in Focus Course 2

## Book 1
The first part of the year will focus on the following common core standards.
Number system - rational numbers, calculations of rational numbers: integers, fractions, decimals Expressions and equations - working with algebraic expressions: like terms, coefficients, writing algebraic expressions, factoring algebraic expressions, algebraic reasoning, solving algebraic equations, solving algebraic inequalities Ratios and proportional relationships - direct proportion, inverse proportions, |
## Book 2The second part of the year will focus on the following common core standards.
Geometry - angles: complementary, supplementary, adjacent, vertical, alternate interior and exterior, corresponding - Construction of angle bisectors, triangles, quadrilaterals, scale drawings Recognizing different solids, finding volume and surface area of the solids Statistics - quartiles and interquartile range, stem and leaf plots, box plots, mean absolute deviation, random sampling Probability - outcomes, events, relative frequency |