Investigation 1   (SE pg 5 ñ13  ) ñ 2  days

Learn:   ENLARGING FIGURES 

q    Make Enlargements of simple figures with a rubber-band stretcher

q    Describe in an intuitive way what the word ìsimilarî means

q    Consider relationships between lengths and between angles in simple, similar figures

Grade 7: GLE 1.3.1 Understand concept of similarity

Grade 8: GLE 1.3.2: Apply understanding of similarity to polygons, circles and solids.

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1 Adpatations

2-3-4 Program

5-6 Enrichment

7-8 Enhancements

9 - 10 Extension

Additional Practice Inv 1

Using Percent

Investigation 2  (SE pg 14 ñ 27) ñ 4 days
Learn: SIMILAR FIGURES

q    Review locating points in a coordinate system

q    Graph figures using algebraic rules

q    Predict how figures on a coordinate system are affected by a given rule

q    Learn that corresponding angles of similar figures are equal and that corresponding sides grow by the same factor

q    Compare lengths and angles in similar and non-similar figures informally

q    Experiment with examples and counterexamples of similar shapes

Grade 7 1.3.1 Understand concept of similarity

Grade 7: 1.3.3 Understand the location of points on a coordinate grid in any of the four quadrants.

Grade 8: GLE 5.1.1. Apply concepts and procedures from a variety of mathematical areas in a given problem or situationÖÖ
(Solve problems involving ratio and proportion (e.g., similar figures, scale drawings, rates, find unit pricing increase or decrease a recipe, find the portions for a group converting between different units of measure, or finding medicinal dosages))

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1 Adpatations

2-3-4 Program

5-6 Enrichment

7-8 Enhancements

9 - 10 Extension

Additional Practice Inv 2

Similar Figures

Investigation 3 (SE pg 28 ñ 40) ñ 3 days

Learn: PATTERNS OF SIMILAR FIGURES  

q    Recognize similar figures and be able to tell why they are similar

q    Understand that any two similar figues are related by a scale factor, which is the ratio of their corresponding sizes

q    Build a larger, similar shape from copies of a basic shape (a rep-tile)

q    Find rep-tiles by dividing a large shape into smaller, similar shapes

q    Understand that the sides and perimeters of similar figures grow by a scale factor and that the areas grow by the square of the scale factor

q    Find a missing measurement in a pair of similar figures

q    Recognize that triangles with equal corresponding angles are similar

Grade 8: GLE 1.1.4: Apply ratio, percent, and direct proportion in situations

Grade 7: GLE 1.3.1 Understand concept of similarity

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1 Adpatations

2-3-4 Program

5-6 Enrichment

7-8 Enhancements

9 - 10 Extension

Focus on these foundation skills

Additional Practice Inv 3

Fractions, Decimals & Percents

Similar Polygons

Investigation 4 (SE pg 41 ñ 58) ñ 4 days

Learn: USING SIMILARITY

q    Use the definition of similarity to recognize when figures are similar

q    Determine the scale factor between similar figures to find the lengths of corresponding sides

q    Find a missing measurement in a pair of similar figures

q    Use the relationship between scale factor and area to find the area of a figure that is similar to a figue of a known area

q    Solve problems that involve scaling up and down

Grade 8: GLE 1.1.4: Apply ratio, percent, and direct proportion in situations

0 Foundations

0 Remediations 

1 Adpatations

2-3-4 Program

5-6 Enrichment

7-8 Enhancements

9 - 10 Extension

Additional Practice Inv 4

Similarity and Ratio

Investigation 5 (SE pg  59 ñ 74 ) ñ 3 days

Learn: SIMILAR TRIANGLES

q    Recognize similar figures in the real world

q    Find a missing measurement in a pair of similar figures

q    Apply what has been learned about similar figures to solve real-world problems

q    Collect data, analyze it, and draw reasoned conclusions from it

Grade 8: GLE 1.1.4: Apply ratio, percent, and direct proportion in situations

Grade 8: GLE 1.2.6: Apply strategies to obtain reasonable estimates of: volume and surface area measurements for right cylinders; right prisms; and of the lengths of sides of right trianglesÖ.

Approximate distance or height in a problem situation using similar triangles Ö (e.g., Ö..similar trianglesÖ..).

0 Foundations

0 Remediations 

1 Adpatations

2-3-4 Program

5-6 Enrichment

7-8 Enhancements

9 - 10 Extension

Additional Practice Inv 5

Using Similarity

Investigation 6 (SE pg  75 ñ 80 ) ñ 2 days

Learn: STRETCHING AND SHRINKING WITH A COMPUTER

q    Continue to make decisions about whether figures are similar based upon constant angle measurements and ratios between two sides of the same figure.

q    Continue to build understanding of angles as measures of rotation.

q    Solve problems involving scaling and its effects on side lengths and area.

q    Manipulate a figure visually by shrinking it to zero length and width and then changing its orientation (as the scale factor becomes negative)

Grade 8: GLE 1.1.4: Apply ratio, percent, and direct proportion in situations

Grade 8: GLE 1.2.5 Understand and apply formulas, including the Pythagorean Theorem, to right prisms, right cylinders, and trianglesÖ
( Calculate measures of objects for which no direct information is given (e.g., similar figures, ratio, proportion, scale))

0 Foundations

0 Remediations 

1 Adpatations

2-3-4 Program

5-6 Enrichment

7-8 Enhancements

9 - 10 Extension

REVIEW-REWORK-RETHINK

Foundations of this Unit