Arithmetic and Applications Self Paced (Grades 4-7)

Arithmetic and Applications Self Paced (Grades 4-7)

Arithmetic and Applications

Year Long Self Paced Course

Instructor: Frazier

Grades 4-7

Class Syllabus

Arithmetic and Applications

Source curriculum: Based on MEP Year 7 (intended for ages 11-12) with additional resources

Summary: Arithmetic and Applications is designed to be an onramp into junior high mathematics, reinforcing and extending elementary math skills. Learners will calculate with whole numbers, fractions, decimals, percents, and negative numbers. They will also use logical, geometric, and statistical reasoning, and solve simple algebraic equations. All these skills will be applied to problem solving.

Prerequisite: Elementary school math with average achievement. For learners working at an advanced level, this class can also replace the final year of elementary math.

Placement note: Learners who have completed all of elementary math with a high level of achievement can take this class to build confidence or go ahead to Junior High General Math.

Topic Outline

  • Problem Solving and Graphs

    • Basic logic problems

    • Problem solving strategies

    • Review of whole number place value and calculations

    • Scatter plots

    • Coordinate graphing in quadrant 1

  • Decimal Calculations and Angles

    • Decimal place value

    • Decimal addition and subtraction

    • Problem solving with money using addition and subtraction, such as totals and change

    • Measuring angles

    • Angle types

    • Angle sums (around a point, straight line, in a triangle)

    • Classifying triangles

  • More Decimal Calculations and Patterns

    • Multiplying and dividing decimals

    • Problem solving with money using multiplication and division, such as bulk and unit pricing

    • Pattern analysis

    • Multiples of numbers

  • Area, Perimeter, and Fractions

    • Perimeter as total of sides

    • Area of rectangles and triangles

    • Decomposing compound shapes

    • Estimating irregular shapes

    • Visual models of fractions

    • Converting between improper fractions and mixed numbers

  • Collecting Data and Calculations

    • Types of data (qualitative, quantitative, discrete, continuous)

    • Data collection and visualization

    • Intuitive idea of hypotheses/claims

    • Review all calculations with whole numbers and decimals and apply in problem solving

  • Patterns, Time, and Negative Numbers

    • Number sequences

    • Geometric figure sequences

    • Number patterns containing sequences

    • Clock reading and number patterns in clocks

    • Time conversion (time zones, 12/24 hour time)

    • Unit analysis

    • Problem solving with time

    • Number lines past zero

    • Operations with negative numbers

  • Linear Equations and Parts of Wholes

    • Order of operations

    • Evaluating expressions, given the value of a variable

    • One-variable linear equations

    • Ribbon diagrams

    • Converting between fractions, decimals, and percents

    • Problem solving with fractions, decimals, and percents

  • Data, Scale, and Fractions

    • Data displays

    • Measures of central tendency (mean, median, mode)

    • Measures of variability (range)

    • Length measurements

    • Maps and floor plans

    • Review whole number, negative number, and decimal calculations

    • Operations with fractions

    • Fraction operations in problem solving

  • Probability and Volume

    • Concept of probability as expressing how likely/unlikely something is

    • Impossibility, certainty, equally likely options

    • Theoretical and empirical probability

    • Outcomes and events

    • Complementary events

    • Compound events

    • Cubes, rectangular solids, and triangular prisms

    • Cubic inches, centimeters, etc.

    • US customary volume/capacity units (gallons, ounces, etc.)

    • Metric capacity units (liters)

reward points