Foundational Arithmetic and Numbers Unit Thumbnail

Foundational Arithmetic and Numbers

Students explore decimals number and their place value. How numbers are composed, what factors are, and how to find prime factorization. Multiplying and dividing integers and floating point numbers and modeling and relating fractions.
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Lesson 1
Place Value
In this lessons students learn about place value in standard form, written form and expanded form.
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Lesson 2
Multiplying and Dividing Whole Numbers
Students review the concepts of multiplication and division with positive integers.
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Lesson 3
Multiples of Whole Numbers
Students look at number rules and how to quickly calculate factors from a product.
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Lesson 4
Factors of Whole Numbers
Students explore how to find all the factors of a given positive integer or whole number.
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Lesson 5
Prime and Composite Numbers
Students explore prime numbers and how composite numbers are composed of prime numbers.
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Lesson 6
Modelling Fractions
Students revisit fractions by modelling their numerators and denominator.
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Lesson 7
Fraction Relationships
Students explore fractions in and their relationship between number lines, charts, mixed numbers and improper fractions.
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Lesson 8
Finding Patterns in Tables
Students explore how mathematical patterns or algorithms are everywhere in the world.
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Lesson 9
Multiplying Decimals
Students explore how to multiply different decimal or floating point numbers.
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Lesson 10
Dividing Decimals
Students explore how to divide decimal or floating point numbers.
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Lesson 11
Multiplication and Division Problem Solving
Students use their multiplication and dividing decimal skills to solve mathematical problems.
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Extra Challenge
Multiplication Game
The first optional challenge in which students make a simple multiplication game in Scratch.
Operations and Graphing Unit Thumbnail

Operations and Graphing

Students focus on the fundamentals of pre-algebra. Topics like integers, order of operations, variables, graphing, and analyzing data are explored.
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Lesson 1
Integers
Students explore what integers are and how we use them in our everyday life. The concept of a "Zero Pair" is introduced.
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Lesson 2
Ordering Integers
Students use their knowledge of integers to explore order and value.
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Lesson 3
Order of Operations
Students learn about PEDMAS, often refereed to as BEDMAS, the order in which you complete multi-step mathematical expressions and equations.
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Lesson 4
Writing and Simplifying Expressions
Students learn about the basics of pre-algebra: understanding words problems, substituting and simplifying equations, and data tables.
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Lesson 5
Preservation of Equality: Addition and Subtraction
Students explore how to balance addition and subtraction based equations using preservation of equality, the methodology and why it works.
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Lesson 6
Preservation of Equality: Multiplication and Division
Students further explore preservation of equality, looking into how to balance multiplication and division equations.
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Lesson 7
Table of Values
Students learn how to use a data table or a table of values to solve a series of algebraic expressions.
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Lesson 8
Graphing Points
Students explore ordered pairs (graphing points) and how they are used in a Cartesian plane to plot graphs or figures.
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Lesson 9
Graphing Patterns
Students learn how to use ordered pairs to create patterns and figures on a Cartesian plane.
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Lesson 10
Measuring Distance
Students learn how to measure the distance between two order pairs on a single axis.
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Lesson 11
Line Graphs
Students learn how to plot data to create a line graph, learning about the importance of the axes, scaling, and labeling.
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Project
Cartesian Battleships
Students are hire by a company to create a new board game using Cartesian planes, Cartesian Battleships.
Angles and Polygons Unit Thumbnail

Angles and Polygons

Students focus on understand how manipulating objects in a 2D and 3D plane can be expressed through Mathematics. Topics like angles, polygons, transformations, perimeter, area and volume are explored.
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