Curriculum Guide (PDF)
Course Overview
This course is designed to prepare students for success in their future. Emphasis will be given to equip students with the skills and understandings required for success on the WASL. At the same time, this course will focus on the keys to success in future math coursework and, most importantly, the implementation of math in everyday living.
Essential Questions |
Essential Understandings |
To what extent is mathematics a language?
In what ways can mathematics simplify our world?
To what extent is mathematics used in problem solving?
How much is enough for it to be a "good paying job"?
Is it a good idea to buy a new car?
How do we understand mathematics?
How does mathematics model our world?
Is mathematics always logical and objective?
How do we communicate mathematics?
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- Concepts and procedures of mathematics inform operations in our world
- Mathematics defines and solves problems
- Mathematical reasoning helps in making decisions
- Mathematical ideas connect within mathematics, to other subject areas, and to real-life situations
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Namely, this course will study these four main ideas:
Algebraic Sense : Much of the universe can be modeled using algebraic symbols. Problems, patterns, and phenomena often can be addressed with the tools of algebra.
Proportionate Reasoning : Ratios, percents, and probabilities are useful for describing and predicting many aspects of life.
Geometric Sense : Geometry generalizes the physical properties of our world. The measurement of physical shapes helps us to describe and explore their properties.
Number Sense : The world around us can be quantified with numbers. Having a sense about the enormity and smallness of numbers helps guide our thinking.
In each area, students will know:
1. Algebraic Sense.
- How to simplify linear expressions
- How to solve multiple step linear equations
- How to write linear equations to model scenarios
- How to graph linear equations
- How to write linear equations given a graph
- How to describe the meaning of slope on a graph using appropriate units
- How to solve single step equations involving square and cube roots.
- How to rewrite basic formulas
- How to explain how to solve a direct variation problem
2. Proportionate Reasoning
- How to simplify ratios
- How to unit rates
- How to describe the meaning of slope on a graph using appropriate units
- How to find simple percentages
- How to find simple probabilities
- How to use simple ratios, percentages, and probabilities to make predictions.
- How to setup and solve proportions
- How to use sine, cosine, and tangent to find ratios in right triangles
- How to use sine, cosine, and tangent to find missing measurements in right triangles
- How to estimate the line of best fit for a data set
- How to solve systems of linear equations graphically
- How to solve systems of linear equations by substitution
- How to solve systems of linear equations by linear combination (add/sub)
- How to graph linear inequalities
3. Geometric Sense
- How to identify basic 2D and 3D shapes
- How to create nets for prisms, pyramids, cylinders, and other 3D shapes
- How to find lengths, areas, and volumes of basic 2D and 3D shapes with the aid of formulas
- How to explain the effect of changing one or two dimensions of an object has on its area or volume
- How to explain the effect of changing the area or volume of an object has on its dimensions
- How to find the relationship and ratio of corresponding measurements on similar 2D and 3D shapes
- How to use the Pythagorean theorem
- How to use dilations, rotations, reflections, and translations to transform shapes
- How to use coordinates to describe objects and transformations done to them
- How to create scatterplots to present data sets
4. Number Sense
- How to simplify numerical expressions using correct order of operations
- How to simplify variable expressions when the value of variables are known
- How to use positive and negative numbers (including decimals and fractions)
- How to estimate in different contexts
- How to read and use scientific notation
- How to simplify basic square roots
- How to measure angles and lengths with reasonable accuracy
- How to describe a pattern in a sequence of numbers (eg. arithmetic and geometric)
Scope and Sequence
- Unit 1: Variable Expressions
- Unit 2: Using Measures
- Unit 3: Solving equations
- Unit 5: More Equations
- Unit 6: Ratios
- Unit 7: Direct Variation
- Unit 8: Linear Equations
- Unit 9: The Pythagorean Theorem
- Unit 10: More Measures
Course Pacing
The following outline suggests a reasonable pacing for the course. This does not include examination weeks such as the WASL or district quarterly assessments.
First Semester
Orientation |
1 week |
Unit 1: Variable Expressions |
3 weeks |
Unit 2: Using Measures |
3 weeks |
Unit 3: Solving Equations |
2 weeks |
Unit 4: Coordinates |
4 weeks |
Unit 5: Solving Equations part 2 |
5 weeks |
Second Semester
Unit 6: Rates, Ratios, and Proportions |
5 weeks |
Unit 7: Direct Variation |
4 weeks |
Unit 8: Linear Equations |
4 weeks |
Unit 9: More Measures of our World |
5 weeks |
Course Policies
Academic Integrity
It is the responsibility of the student to uphold the highest in academic integrity.
Students in this course will be expected to comply with the official Spokane District 81 policy regarding Academic Integrity. Any student suspected of violating their obligation for any reason during the semester will be required to participate in the procedural process, initiated at the instructor level. This may include, but is not limited to, the confiscation of the examination of any individual suspected of violating the policy.
Please note that that we'll be using Turnitin's services to check for plagiarism
Make-up Exam Policy
Although most timelines for work in this course will be quite flexible, there will be deadlines for some items.
When an assignment or test is due by a certain time, there may be extenuating circumstances that may allow for an extension. Such extensions must be requested in writing. These extensions may be granted or denied at the discretion of the instructor.
Remember to take ownership. Be responsible and strive for the best in your work.
District Computer/Network Usage
Careful and ethical use of computing resources is the responsibility of every user. Students will be held to a standard of accountability for how they use computers. The official District Acceptable Use Policy is found here. |