MEASUREMENT (33%)
Develop spatial sense through direct and indirect measurement.
Develop spatial sense through direct and indirect measurement.
- Demonstrate an understanding of the imperial and metric (SI) system, convert between units.
- Describe the relationship between units for length, perimeter, area, volume, capacity and temperature.
- Solve and verify problems using fractions and decimals with linear measurements.
- Solve and verify problems using fractions and decimals with 2D and 3D shapes (regular, composite and irregular).
Online Calculator: Desmos
Lesson 1: Converting Measurements
- We will use 'stair' method to determine the number of 10's to multiply or divide by when converting between metric measurements.
- We will use ratios to convert between Imperial measurement.
- We will perform the four arithmetic operations on fractions with and without technology.
- Resources: (Lesson 1)
- A. Intro to Metric System: Metric System Explained
- B. Intro to Imperial System: Imperial Notes Video
- C. Fraction Skills
- Fractions (Fraction Notes Video)
- Fraction Calculator (shows the steps too): Fraction-calculator
- (Lesson Notes)
- Skill Building:
- Lesson 1 HW: [Same System Conversions and Factions] [Answer Key]
Lesson 2A, 2B: Measurement Skills: fractions, conversions.
- Part A. We will perform the four arithmetic operations on fractions with and without technology; multiply and divide.
- Part B. We will convert between metric measurements and Imperial measurements using ratios.
- Resources: (Lesson 2)
- (Part A video) multiply and divide fractions.
- (Part B video) conversions between metric and Imperial
- (Lesson 2 Notes)
- Skill Building: (Fractions and Conversions) (Answer Key)
Lesson 2C: Measurement Skills: Introduction of Perimeter and Area.
- Part C: Perimeter: Find the distance around rectangles, circles, polygons.
- Part C: Area: Determine the number of squares that fit inside a shape.
- Resources: (Lesson 2)
- (Part C Video) Basics of perimeter and area.
- (Lesson 2 Notes)
- Perimeter and Area Activity (Activity Link) (Video Summary)
- Resource: any graph paper or download (cm grid paper)
Lesson 3: Advanced Perimeter and Area
- Use formulas to calculate perimeter and area of rectangles, triangles and circles.
- Find the area and perimeter of complex shapes.
- Resources: (Lesson 3)
- (Part A and B Video) Combined shapes and Circles.
- (Part C Video 1,2) Complex Shapes examples 1 and 2.
- (Part C Video 3) Shaded Area
- Skill Building: Advanced Area/Perimeter (Answer Key)
- Lesson 3 HW: [Summary of Skills Assignment] [Answer Key]
- skill building examples:
Lesson 4: Volume and Surface Area
Lesson 5: Build Our Skills
Lesson 6: Measurement Summary Assignment
- Volume: find the number of cubes contained in a shape.
- Use formulas to determine volume.
- Surface Area: find the area created when a 3D shape is flattened into its net.
- Resources: (Lesson 4)
- Lesson 4 (Notes)
- Skill Building: Finding Volume and Surface Area (Answer Key)
- More Resources:
- Rectangular Prisms (cereal box): math.net/rectangular-prism
- Triangular Prisms (A-frame tent): math.net/triangular-prism
- Pyramid (Egypt): math.net/pyramid
- Cylinders (soup cans): math.net/cylinder
- Cones (ice cream): math.net/cone
- Sphere (basketball): math.net/sphere
- Lesson 4 HW [Volume and Surface Area] [Answer Key]
Lesson 5: Build Our Skills
- Warm Up Problem
- (Problem) (Answer Key) (Video Solution)
- Combination Shapes (Answer Key)
- Videos: (Questions 1 and 2) (Question 3a) (Question 3bc) (Question 4)
- Lesson 5 HW: Review/Problem Solving [Answer Key]
Lesson 6: Measurement Summary Assignment