MTH001: Math Foundations I (Remediation)

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe what is covered in a course (the scope) and also the order in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

Course Overview

Students build and reinforce foundational math skills typically found in third through fifth grade for which they have not achieved mastery. They progress through carefully paced, guided instruction and engaging interactive practice. Formative assessments identify areas of weakness and prescribe lessons to improve performance. Summative assessments track progress and skill development. If needed, students can move on to Math Foundations II (addressing skills typically found in sixth through eighth grade) to further develop the computational skills and conceptual understanding needed to undertake high school math courses with confidence.

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Course Length

Two Semesters

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Prerequisites

Teacher/school counselor recommendation

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Course Outline

SEMESTER ONE

Unit 1: Understanding Numbers

Students begin with a diagnostic to find out what they know. Then they learn about basic odd and even numbers, including solving by grouping, regrouping, word problems, identifying un-needed information, skip counting, and mental math.

  • Addition and Subtraction With Regrouping
  • Understanding Numbers
  • Ordering Numbers
  • Fact Families
  • Using Mental Math
  • Choosing the Operation
  • Adding Numbers Horizontally
  • Extra Information

Unit 2: Adding and Subtracting

Students begin with a diagnostic to find out what they know. Then they review addition and subtraction, graphs and charts, and understanding and solving word problems.

  • Standard and Nonstandard Measurements
  • Using Graphs and Charts
  • Addition with Regrouping
  • Understandings Word Problems
  • Perimeter
  • Subtraction with Regrouping
  • Solving Word Problems
  • Deciding When to Regroup

Unit 3: Measurement and Multiplication

Students begin with a diagnostic to find out what they know. Then they review how to find the mean, median, mode, and range, as well as area, then they begin an introduction to multiplication.

  • Mean, Median, Mode, and Range
  • Capacity, Time, and Weight
  • Finding Needed Facts
  • Introduction to Multiplication
  • Multiplying by 2, 3, 4, and 5
  • Multiplying by 6, 7, 8, 9, 10, and 100
  • Multiplying Three Numbers
  • Area

Unit 4: Division and Data

Students begin with a diagnostic to find out what they know. Then they learn about the properties of division, multi-step word problems, conclusions and predications and more.

  • Introduction to Division
  • Division: the Opposite of Multiplication
  • Dividing by 2,3,4, and 5
  • Multi-step Word Problems
  • Dividing by 6, 7, 8, and 9
  • Long Division
  • Conclusions and Predictions
  • Expressing Numbers
  • Data Collection

Unit 5: Fractions and Geometry

Students begin with a diagnostic to find out what they know. Then they learn about fractions, comparing like fractions, simplifying fractions, and finding common denominators. They learn about comparing and ordering mixed numbers and converting mixed numbers.

  • Introduction to Fractions
  • Parts of a Set
  • Equivalent Fractions
  • Adding and Subtracting Fractions
  • Mixed Numbers
  • Decimals
  • Adding and Subtracting Decimals
  • Probability
  • Lines, Rays, and Segments
  • Plane Figures
  • Solids
  • Ordered Pairs
  • Logical Reasoning

SEMESTER TWO

Unit 1: Addition, Subtraction, and Measurement

Students begin with a diagnostic to find out what they know. Then they learn about cardinal and ordinal numbers, estimating and measuring capacity, mass, temperature, time and days. They also learn addends in relation to sum and adding zero.

  • Story Problems: A 5-Step Process
  • Number Sense: Grouping Addends
  • Number Sense : Rounding Numbers
  • Addition and Subtraction:  Related Facts
  • Addition and Subtraction: Fact Families
  • Patterns
  • Ordinal Numbers
  • Measurement: Time
  • Measurement: Calendars
  • Measurement: Units of Measurement

Unit 2: Fractions and Geometry

Students begin with a diagnostic to find out what they know. Then they practice word problems with fractions and decimals—adding and subtracting like and unlike fractions, mixed numbers, and decimals, as well as segments, symmetry, ordered pairs, and more.

  • Fractions: The Basics
  • Fractions: Adding and Subtracting
  • Decimals: to the Hundredths
  • Decimals: Comparing and Ordering
  • Geometry
  • Geometry: Angles
  • Geometry: Congruence and Symmetry
  • Geometry: Perimeter and Area
  • Graphs Ordered Pairs
  • Graphs: Bar and Line Graphs
  • Graphs: Tables and Pictographs
  • Probability
  • Using Mental Math

Unit 3: Multiplication, Division, and Decimals

Students begin with a diagnostic to find out what they know. Then they learn about decimals, estimating, logic in solving, commutative and associative properties as well as place values and exponents.

  • Choosing the Operation
  • Extra Information
  • Story Problems: Forming the Problem
  • Finding Needed Facts
  • Story Problems: From Problem to Solution
  • Logical Reasoning
  • Multiplying Two and Three Digits
  • Properties of Multiplication
  • Multiplication: Estimating
  • Dividing Whole Numbers
  • Dividing and Estimating
  • Whole Numbers: Place Value
  • Whole Numbers: Compare and Order
  • Decimals to the Thousandths
  • Decimals: Compare and Order

Unit 4: Operations

Students begin with a diagnostic to find out what they know. Then they learn about dividing whole numbers and decimals, organizing data, estimating and mental math, clustering, and more.

  • Properties of Addition
  • Addition and Subtraction: Inverse operations
  • Addition and Subtraction: Zeros
  • Addition and Subtraction with Decimals
  • Problem Solving: The 5-Step Plan
  • Organizing Data: Using Tables
  • Problem Solving: Multistep Problems
  • Properties of Multiplication
  • Multiplication with 2 and 3 Digit Numbers
  • Multiplication: Estimation
  • Dividing Whole Numbers
  • Dividing Larger Numbers
  • Dividing Decimals

Unit 5: Data, Fractions, and Geometry

Students begin with a diagnostic to find out what they know. Then they learn about organizing data and displaying data with various methods, comparing, multiplying and estimating fractions, as well as points, segments, rays, geometric vocabulary and more.

  • Organizing Data: Mean, Mode, Median, Range
  • Bar Graphs and Pictographs
  • Line Graphs
  • Circle Graphs
  • Ordered Pairs
  • Fractions
  • Comparing and Reducing Fractions
  • Adding and Subtracting Fractions
  • Multiplying Fractions
  • Lines and Angles
  • Polygons
  • Circles
  • Space Figures
  • Geometric Measurement
  • Ratios
  • Percent
  • Probability
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Lesson Scheduling

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K12 Scope & Sequence documents for each course include:

  • Course Overview (as seen above)
  • Course Outline
  • Lesson Time and Scheduling