Quarter 1

Quarter 2

Quarter 3

Quarter 4

Unit 1: Polynomial Expressions

 In this unit, students will be able to use geometric shapes to justify operations with polynomial expressions. Contextual situations, which utilize expressions, will be used to add, subtract and multiply polynomials. Students will be able to make connections between integers and polynomials by using a concrete-representational-abstract (C-R-A) approach to problem solving

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Unit 2: Geometric Foundations, Construction and Proof

 In this unit, students will be introduced to the basic building blocks of geometry. Students will further develop their understanding of basic elements by learning constructions using a straightedge and a compass. Students will begin the fundamental geometric practice of writing proofs.

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Unit 3: Congruence

 In this unit, students will be introduced to transformations in the coordinate plane, describe a sequence of transformations that will map one figure onto another, and describe transformations that will map a figure onto itself. Students will use transformations to develop

an understanding of congruence and use this to prove theorems involving triangles.

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Unit 3: Congruence

(continued)

 In this unit, students will be introduced to transformations in the coordinate plane, describe a sequence of transformations that will map one figure onto another, and describe transformations that will map a figure onto itself. Students will use transformations to develop

an understanding of congruence and use this to prove theorems involving triangles.

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UNIT 4

Similarity

In this unit, students will explore nonrigid transformations and proportional reasoning to develop an understanding of similarity. Students will use the definition of dilation to describe similarity and the criterion for triangles to be similar. They will use this to prove similarity involving triangles

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Unit 5: Right Triangle Trigonometry

In this unit, students will use similarity in right triangles to understand right triangle trigonometry. They will use the relationship between the sine and cosine of complementary angles to solve problems involving right triangles.

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Unit 6: Circles

In this unit, students will examine and apply theorems involving angle relationships, find arc lengths, and find the area of sectors of circles. Students will graph and write equations of circles. Students will extend their understanding of arc length in circles and begin exploring angles within the unit circle as a fraction of the circumference all the way around the unit circle. They will fluently convert between degrees and radians. Students will use special right triangles concepts to define the value of the sine, cosine, and tangent and understand the x (cosine), y (sine), and r (1) values of each angle measure found at all terminal angles that are multiples of π/6, π/3 and π/4 around the unit circle, and will be able to find the sine, cosine, and tangent at all of these radian measures, as well.

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Unit 7: Equations and Measurement 

In this unit, students will develop informal arguments for geometric formulas and solve contextual problems involving volume.

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Unit 8: Probability and Statistics

In this unit, students will organize real-life data in two-way frequency tables. They will use the two-way frequency tables to find probabilities. Students calculate, model, and interpret probabilities of compound events. Students will calculate permutations and combinations within real-world contexts and develop probability distributions based on the entire sample space. Students will calculate expected value of a probability distribution and understand it to be the mean of that probability distribution. Using expected value, students will make decisions about risk vs. reward in real-world situations such as games of chance and insurance

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Unit 9: Culminating Capstone Unit

(applying concepts in real-life contexts)

 The capstone unit applies content that has already been learned in previous interdisciplinary PBLs and units throughout the school year. The capstone unit is an interdisciplinary unit that allows students to create a presentation, report, or demonstration that could include their models used to answer an overarching driving question. (e.g., Students can present their solution(s), findings, project, or answer to the driving question to a larger audience during the culminating capstone unit.)

ALL STANDARDS G.MP.1-8