Junior High General Math Self Paced (Grades 5-8)

Junior High General Math Self Paced (Grades 5-8)

Junior High General Math

Instructor: Frazier

Year Long Self Paced Course

Grades 5-8

Course Syllabus

Junior High General Math

Source curriculum: Based on Illustrative Math Accelerated 6 (intended for age 11-12 on the 8th grade Algebra 1 timeline) with additional resources

Summary: Junior High General Math is a “pre-prealgebra” class. Through the year, learners will calculate with whole numbers, fractions, decimals, percents, and negative numbers. They will use ratios, proportions, and equations to express relationships between quantities. All these skills, as well as data analysis and probability, will be applied to real world problem solving.

Prerequisite: Arithmetic and Applications or equivalent, or strong achievement in elementary math

Topic Outline

  • Area and Surface Area

    • Filling and decomposing shapes

    • Reasoning and formulas for rectangles, parallelograms, triangles, and other polygons

    • Surface area of polyhedra

  • Ratios, Rates, and Percentages

    • Ratios as comparisons

    • Mixtures

    • Equivalent ratios and comparing ratios

    • Converting units

    • Unit rates

    • Equivalent rates and comparing rates

    • Percentages

    • Problem solving with ratios, rates, and percentages

  • Fractions and Decimals

    • Review of adding, subtracting, and multiplying fractions

    • Dividing fractions

    • Ratios and rates in fractions

    • Fractions in geometry

    • Problem solving with fractions

    • Operations with decimals

    • Problem solving with decimals

  • Equations and Expressions

    • Visual representations (ribbon diagrams, balance diagrams)

    • Inverse operations and working backwards

    • Equivalent expressions

    • The distributive property

    • Expressions and formulas with exponents

    • Using and translating between equations, tables, and graphs

    • Problem solving with equations

  • Proportions

    • Proportion equations, graphs, and tables

    • Comparing proportional relationships

    • Problem solving with proportions

    • Circumference and area of circles

    • Problem solving with circles

  • Percentage Changes

    • Increasing and decreasing

    • Growth and decay factors

    • Changes with equations

    • Sequential and repeated changes

    • Margins of error

    • Problem solving with percentages

  • Rational Numbers

    • Apply all four operations with any rational numbers (including positive, zero, and negative, as well as integers, decimals, and fractions)

    • Absolute value

    • Four-quadrant graphing

    • Equations with rational numbers

    • Problem solving with rational numbers

  • Data and Distributions

    • Samples and populations

    • Sampling strategies

    • Data displays

    • Measures of central tendency (mean and median)

    • Measures of variability (range and IQR)

    • Theoretical and empirical probability

    • Sample spaces, outcomes, and events

    • Compound probabilities

    • Simulations

reward points