5th grade Algebra

Algebra syllabus for 5th grade

For children aged 10 to 11, the math curriculum begins to introduce foundational concepts in algebra. Here are the key components of the math curriculum for algebra for ages 10 to 11:

Variables and Expressions: Students learn about variables as symbols that represent unknown quantities. They practice evaluating and simplifying algebraic expressions by substituting values for variables and performing basic arithmetic operations.
Patterns and Relationships: Students explore patterns and relationships in numbers and shapes. They identify and extend patterns, generalize rules, and describe relationships using algebraic language. They also apply their understanding of patterns to solve problems.
Equations and Inequalities: Students begin to work with equations and inequalities. They learn to write and solve simple one-variable equations and inequalities, both algebraically and using models or diagrams. They also interpret and analyze solutions in the context of the problem.
Function Notation: Students are introduced to function notation. They learn to represent functional relationships using symbols and understand that functions can have inputs and outputs. They explore function tables and graphs to identify patterns and make predictions.
Problem Solving: Algebraic thinking is applied to solve a variety of real-life and mathematical problems. Students analyze word problems, identify relevant information, translate situations into algebraic expressions or equations, and use algebraic strategies to find solutions. They also practice explaining their reasoning and justifying their answers.
Reasoning and Generalization: Students develop reasoning skills and make generalizations based on patterns and relationships. They practice articulating their thinking, identifying patterns, and making conjectures. They also learn to provide evidence or counterexamples to support their claims.
Graphing: Students learn basic graphing skills, including plotting points on a coordinate plane and interpreting simple graphs. They understand the relationship between algebraic expressions and their graphical representations.

The curriculum aims to develop students' algebraic thinking, problem-solving abilities, and reasoning skills. By the age of 10 to 11, students are expected to have a solid foundation in the fundamental concepts of algebra and be ready to apply their knowledge in more complex mathematical contexts.

Algebra topics by sub-category

5th grade → Algebra → Equations

One step addition equations

Solve the one-step addition equation to find the value of X

One step subtraction equations

Solve the one-step subtraction equation to find the value of x

One step multiplication equations

Solve the multiplication equation to find the value of x

One step division equations

Solve the one-step division equation to find the value of x

5th grade → Algebra → Formulae: perimeter

Perimeter of squares

Use the formula perimeter P = 4 x length to work out the perimeter of each square

Perimeter of rectangles

Use the formula perimeter P = 2 x (length + width) to calculate the perimeter of rectangles

Perimeter of equilateral triangles

Use the formula P = 3 x length to work out the perimeter of these equilateral triangles

Perimeter of compound shapes

Use algebra to express the total perimeter of compound shapes in terms of x

5th grade → Algebra → Formulae: area

Area of squares

Calculate the area of squares using the formula area A = length L times L

Area of rectangles

Calculate the area of rectangles using the formula area A = length L x width W

5th grade → Algebra → Missing angles

Angles on straight line: missing angle

Find the missing angle using the angles on a straight line rule

Angles around point: missing angle

Find the missing angle using the angles around a point rule

Angles in triangle: missing angle problems

Find the missing angle using the rule that angles in a triangle sum to 180 degrees

Angles in a quadrilateral

Find the missing angle using the rule that angles in a quadrilateral sum to 360 degrees

5th grade → Algebra → Express the missing angle

Angles on a straight line: form an equation

Express the angles on a straight line missing number problem algebraically by forming an equation

Angles around a point: form an equation

Express the angles around a point missing number problem algebraically by forming an equation

Angles in a triangle: form equation

Express the angles in a triangle sum to 180 missing number problem algebraically by forming an equation

5th grade → Algebra → Missing lengths & numbers

Composite shapes: missing lengths

Identify the missing length X for each of these 2-dimensional composite shapes

Coordinates of point P

Using the graph identify the x or y coordinate of the point labelled P

5th grade → Algebra → Simplify

Collect up like terms

Use addition and subtraction to collect up like terms

Expand a simple bracket

Use multiplication to expand a bracket then simplify the expression

Multiply and simplify

Use multiplication to expand and then collect like terms

5th grade → Algebra → Linear Sequences

Generate linear sequences

Identify the sequence that is generated by the given formula

Term to term rule

Identify the correct term-to-term rule for the sequence

Position to term rule

Identify the correct position-to-term rule for the given sequences

5th grade → Algebra → Enumerate possibilities

Two variables

Identify the pair of numbers that satisfy a statement

Counting * Comparing numbers * Pattern * Place value * Addition * Subtraction * Add + Subtract * Multiplication * Division * Multiply + Divide * Fractions * Decimals * Ratio + proportion * Measurements * Shapes * Position + Direction * Statistics * Algebra *