# Arithmetic and Applications Self Paced (Grades 4-7)

Arithmetic and Applications

Year Long Self Paced Course

Instructor: Frazier

Grades 4-7

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)