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
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
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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Lesson 1
Identifying Angles
Students learn how to identify angles by estimating their angles and classifying them as acute, obtuse, right or straight.
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Lesson 2
Measuring Angles
Students learn how to create and measure angles using a protractor.
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Lesson 3
Polygons
Students explore what polygons, what makes a polygon and the different types of polygons.
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Lesson 4
Classifying Triangles
Students explore the different types of triangles: equatorial, isosceles, scalene and the angles related to each triangle.
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Lesson 5
Interior Angles
Students learn about interior angles of triangles and quadrilaterals. How the sum of these polygons are always the same and what relationships that implies.
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Lesson 6
Congruent Polygons
Students explore what the word congruent means and how concurrency applies to polygons.
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Lesson 7
Transformations
Students explore how to transform or manipulate polygons on a Cartesian plane.
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Lesson 8
Measuring Transformations
Students explore how to measure and describe transformation on a Cartesian plane.
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Lesson 9
Combining Transformations
Students explore how to combined transformation in succession.
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Project
Store Basics
This is an assignment that allows students to explore how to apply the skills they have learned in Grade 6 to plan out a hypothetical store as a project.
Ratios and Probability
Student use previous knowledge to related many previous topics together. They explore the relationships between ratios, percents and fractions, and probability.
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Lesson 1
Ratio
Students explore the concept of ratios and how they can be used to represent a relationship between two objects.
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Lesson 2
Problem Solving Ratio
Students explore how to use ratios to solve problems and everyday situations.
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Lesson 3
Ratios, Fractions, Percents
Students explore the relationship between ratios, fractions, and percents. How they relate and can be converted.
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Lesson 4
Percents as a Decimal
Students explore the relationship between percents and decimals. How they relate and how to convert them.
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Lesson 5
Problem Solving Percents
Students explore how to apply and use percent to solve problems and everyday situations.
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Lesson 6
Theoretical Probability
Students explore the concept of theoretical probability, how to apply it and how it can differ from real life.
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Lesson 7
Experimental Probability
Students explore experimental probability and how it can different from they theoretical in smaller sample sizes.
