Stage 30

### Objectives

• Algebra
• Understand linear equations and functions though tables and graphs
• Solve one-variable linear equations involving integers, fractions, mixed and decimal numbers
• Understand and learn to manipulate simple algebraic expressions
• Measurement
• Understand conversion of units to and from customary and metric units
• numbers
• Calculate volume and surface area of polygonal prisms
• Geometry
• Understand geometric transformations and two-dimensional perspectives of solids
• Learn about complementary and supplementary angles, bisection of angles and lines, and compute internal angles of polygons
• Learn to calculate central angles in circles
##### Unit 1: Multi-variable expressions and equations

Students learn to evaluate and solve equations involving a mix of whole numbers, integer, fractions and decimals. They learn to derive linear equations from input/output function tables.

##### Unit 2: Functions and coordinate graphs

Students learn to draw and interpret data as linear functions on coordinate grids. They are also introduced to the concept of nonlinearity.

##### Unit 3: Measurement

Students learn to convert temperatures between Celcius and Fahrenheit. They continue to strengthen their skills of converting measurements between metric and customary units and apply multiplication and division to mixed customary units. They learn about rate of change of measurements and are introduced to the concept of precision.

##### Unit 4: Coefficients, terms and monomials

Students are introduced to mathematical terminology related to expressions, viz., coefficients, terms and monomials. Based on like terms they simplify and evaluate expressions, and solve equations. They solve word problems based on exponents, which serves as an introduction to polynomials.

##### Unit 5: Geometry

Students identify different polyhedra and identify two-dimensional perspective of solid figure. The learn to visually estimate angles, represent angles in mathematical notation, and understand concept of supplementary and complementary angles. They apply their knowledge of similarity and congruency to solve measurement problems. They learn about bisection of lines and angles.

##### Unit 6: Circle

Students learn to identify parts of a circle and measure missing central angles.

##### Unit 7: Surface area and volume

Students calculate surface area and volume of polygonal prisms with and without units of measurement.