Content

Outline/Topics 

Students will have an individualized math program based on needs. Students will work on concepts that need strengthening in addition to covering the Math 7 curriculum. In addition, completion of an independent topic using multi-media is required. The project must be meaningful to the student and connected it to at least one other content area. 

1. Operations with Whole Numbers

• Algebraic expressions

• Inverse operations

• Solving basic equations

• Distributive property

• Order of operations

2. Using Variables

• Writing mathematical expressions

• Writing equations

• Writing inequalities

• Solving equations and inequalities

• Problem solving

3. The Decimal System

• Exponents

• Powers of Ten

• Place value/expansion

• Comparing

• Rounding

• Addition and subtraction of decimals

• Multiplication and division of decimals

• Multiplication and division by powers of ten

• Problem Solving

4. Number Theory

• Factors and Multiples

• Divisibility

• Square numbers and square roots

• Prime numbers and composite numbers

• GCF/LCM

5. Fractions

• Equivalent fractions

• Mixed numbers

• Improper fractions

• Comparing

• Fraction to decimal

• Decimal to fraction

6. Operations on Fractions

• Addition and subtraction of fractions

• Addition and subtraction of mixed numbers

• Multiplication and division of fractions

• Multiplication and division of mixed numbers

• Ratio and proportion

• Use of proportions

• Problem solving

• Scale drawing

7.  Solving Equations

• Variables

• Operations of addition, subtraction, multiplication, and division

• Combined operations

• Word sentences and equations

• Writing equations

• Problem solving

8.  Percent

• Use with fractions and decimals

• Computation with percents

• Percent of Increase and decrease

• Discount and mark up

• Commission and profit

• Simple interest

• Compound interest

9. Geometric Figures

• Points, lines, and planes

• Measuring segments

• Angles and angle measurement

• Triangles

• Circles

• Congruent figures

• Geometric constructions

• Problem solving

10. Area and Volume

• Rectangles and Parallelograms

• Triangles and Trapezoids

• Circles

• Symmetry

• Volume of prisms and cylinders

• Surface area

11. Integers and Graphs

• Negative numbers

• Operations with integers

• Solving equations

• Graphs of ordered pairs

• Graphs of linear equations

12. Statistics and Probability

• Mean, Median, and Range

• Frequency distributions

• Stem-and-leaf plots

• Box-and-whisker plots

• Histograms

• Probability and odds

The following tools will be used as needed by the student and to reinforce content.

• manipulatives
• multi-media software
• problem solving strategies
• spreadsheet software