YEAR 7 - MATHEMATICS
- Description
- Reviews
- 1
Number and algebra: Algebra and the Cartesian planeStudents use fractions, decimals, and percentages, and their equivalences. They express one quantity as a fraction or percentage of another. Students solve simple linear equations and evaluate algebraic expressions after numerical substitution. They assign ordered pairs to given points on the Cartesian plane. Students use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel lines. Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes. They calculate mean, mode, median and range for data sets. They construct stem-and-leaf plots and dot-plots.
- 2 Number: Integers
1. Understand the concept of integers and how they include positive and negative whole numbers.
2. Solve problems involving the comparison, addition, and subtraction of integers.
3. Apply integers to real-world contexts (e.g., temperature, banking, altitude).
4. Interpret the meaning of integers in various scenarios and explain the results.
- 3 Number: Indices
Lesson Objectives:
1. Understand and apply index notation to express whole numbers as products of prime factors.
2. Identify and calculate perfect squares and their square roots.
3. Find the greatest common divisor (GCD) of two or more numbers using prime factorization.
4. Solve problems involving powers, indices, and square roots without the use of a calculator.
5. Explain the relationships between indices, perfect squares, and square roots.
- 4 Geometry: Geometry Review
Lesson Objectives:
1. Classify triangles and quadrilaterals based on side lengths and angle properties.
2. Apply angle properties on straight lines, angles at a point, and vertically opposite angles to solve problems.
3. Understand angle relationships when parallel lines are crossed by a transversal.
4. Use geometric reasoning to solve problems involving the sum of angles in triangles and quadrilaterals.
5. Explain reasoning when solving geometric problems involving angles and transformations.
- 5 Geometry: Emily's Castle
Lesson Objectives:
1. Interpret and draw front, side, and top views of three-dimensional objects using grid paper.
2. Use a virtual drawing tool to create three-dimensional objects and represent them in two dimensions.
3. Develop spatial awareness by visualizing how objects look from different angles and perspectives.
4. Apply geometric reasoning to solve problems related to transforming and constructing geometric shapes.
5. Connect 3D and 2D representations to understand how different views provide distinct information about an object.
- 6 Measurement: Measurement Investigation
Lesson Objectives:
1. Calculate the volume and surface area of rectangular prisms.
2. Visualize and draw rectangular prisms using isometric dot paper.
3. Investigate how changing dimensions affects the surface area while maintaining the same volume.
4. Present and explain reasoning for how to construct prisms with different surface areas.
5. Conclude findings by comparing and analyzing surface areas of prisms with the same volume.
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