# Welcome to Coach Cowland's 7th Grade Math Resource

**Do you know how to calculate the tax on your shopping bill?**

**Can you calculate how much glass there is in a prism?**

**Do you know which operation to do first when there are several to complete?**

**Did you know that ratios are linked to fractions?**

These are all parts of seventh grade math. If you need help with your seventh grade math, check out some of the videos below to help you with your homework.

# Contents

Math 2 Homework and Assignments Calendar

Requirements for Math 2

Topic 1: Basics Review

Topic 1: Integer Operations

Topic 2: Order of Operations

Topic 3: Ratios

Topic 4: Rates and Unit Rates

Topic 5: Proportions

Topic 6: Graphing Ratios

Topic 7: Percentages

Topic 8: Equations

Topic 9: Equations Word and Graphical Problems

Topic 10: Two Step Inequalities

Topic 11: Plane Geometry including Circles

Topic 12. Angle Geometry

Topic 13. Surface Area of 3 Dimensional Shapes

Topic 14. Volume of 3 Dimensional Shapes

Topic 15. Scale

Topic 16. Statistics

Topic 17. Probability

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# Requirements for Math 2

# Topic 0: Basics Review

This section covers some of the topics that students should have covered in previous years but may have forgotten. If you are unfamiliar with any of the topics or processes covered in these videos, please inform Coach Cowland.

# Topic 1: Integer Operations

The first seventh grade content that we will be working on in Math 2 is multiplication and division of Integers (positive and negative whole numbers). From this we will be going onto addition and subtraction of whole numbers and covering the rules involved.

Note: Operations that involve negative numbers come up consistently through Math 2 and Math 3 topics. This topic will be re-visited several times though the year.

**Integer Operations Project.**

Students draw a game board and use index cards to ask questions about negative numbers. Students need to write the questions, check the answers and then play the game.

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# Topic 2: Order of Operations.

In this unit, students will review the rules of PEMDAS and apply them. They will also change word problems into order of operations number problems and solve these. Finally, some problems will include negative number operations from the previous topic.

# Topic 3: Ratios

Students express ratios in different ways, compare ratios and simplify ratios. Problems will become increasingly difficult and will include ratios that are fractional and/or decimal values.

# Topic 4: Rates and Unit Rates

Students look at rates and unit rates. Students understand that a rate compares two different properties (for example distance by time) and a unit rate is the comparison of one quantity per unit the other.

# Topic 5: Proportions

Students compare ratios to find out if they are proportional and also find the missing value to make two ratios equivalent.

# Topic 6: Graphing Ratios

This subtopic introduces students to the concept of graphing one value on the x axis and another value on the y axis to plot a simple straight line that passes through the origin.

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# Topic 7: Percentages

Students review the relationship between percent, decimal and fractions before finding the percent of a value. They take this further and apply percentages to real life situations including taxes, tips and discounts.

# Topic 8: Equations

Students review (or are introduced to) one and two step equations. They then go beyond this and work on equations that require them to use the distributive property, combine like terms and have several other steps leading to multi-step equations.

# Topic 9: Equations Word and Graphical Problems

Students learn to apply the equations that they have learned to visual (graphical problems) and also to word problems. With the word problems, students practice a number of different types of word problems and practice not only finding the solution, but actually writing the equation down as well. This typically is limited to two step equations.

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# Topic 10: Two Step Inequalities

Students cover one and two step inequalities. This involves finding a range of solutions for which an equation is true. This is a combination of inequalities and equations. Students combine equations with a number line to demonstrate the correct range of values for the variable.

# Topic 11: Plane Geometry including Circles

Students study area and perimeter of parallelograms, trapezoids and triangles as well as finding the area and circumference of circles. . Part of this topic also involves the reverse process; starting with the area or circumference and reverting back to the radius, diameter or length of the side. *****

Beyond this, students find the area and perimeter of complex shapes (combinations of two or more shapes together).

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# Topic 12: Angle Geometry

Students learn about complementary, supplementary and vertical angles as well as angle relationships (such as the sum of the angles inside a triangle add up to 180 degrees). Students can then use this knowledge to find unknown angles (variables) or even to solve for an unknown variable in an equation.

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# Topic 13: Surface area of 3D Shapes

Students study 3D shapes including pyramids, cuboids and prisms to calculate the surface area dimensions. *****

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# Topic 14: Volume of 3D Shapes

Students study 3D shapes including pyramids, cuboids and prisms to calculate the volume of given certain information. *****

*3 Dimensional Geometry Project*

Students will design a house made of the geometric shapes above. Each room/section of the house will be one of the shapes. Students will calculate the cubic volume of their living residence. The design can be an actual model, Minecraft model, 3D Cad design or simple drawing on paper. All models will require (for grade) the calculations and the measurements of the house.

# Topic 15: Scale

This is a graphical extension of ratios and proportions. Students are expected to know how to scale up or down a diagram by a fixed amount so that the resulting diagram is a scale representation. Students are also expected to know how to find out how much a diagram has been scaled up or down given measurements.

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# Topic 16: Statistics

Students study mean, median, mode, range and other measures of data . Students also look at which are the most accurate measures of a data set in different examples.

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# Topic 17: Probability

Students learn about probability and likelihood of events and that a probability of 1 means something is certain and a probability of 0 means that it is certain not to occur. Students practice probability modeling and look at how likely something is to actually happen. Students also look at the probability of multiple events happening sequentially - when one event has an impact on the others and when they have no impact on each other.

***Students are required to memorize these equations before the EOG as the test does not include any equation sheet. **

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