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This is the solutions from a set of scaffolded tasks that enable students to investigate patterns in the Wheel of Theodorus. This provides purposeful practice of Pythagorean theorem. Buy these solutions or the whole set of tasks as a bundle.

A guided task to help students develop the concept of factoring. This task assumes/reviews prior knowledge of using distributive property (FOIL) to multiply a binomial by a binomial to make a trinomial. It helps students to see factoring as the reverse process of simplification using the area model of multiplication. This is a set of two tasks for trinomials where a=1 and for trinomials where a is not equal to 1. It is possible that you might do this in two separate lessons to help students dig

Decimals work for students ready for more advanced work. This provides purposeful practice while challenging students to use decimal and place value concepts to justify a maximum or minimum solution, or how many solutions are possible for a given calculation.

A Mathematics Investigation of maximum possible area of different 2D shapes with a given perimeter. Students can determine the area of each and make a conclusion about which of the shapes will have the highest possible area. Requires trigonometry for the pentagon/hexagon/octagon.

Fractions work for students ready for more advanced work. This provides purposeful practice while challenging students to use fractions concepts to justify a maximum or minimum solution, or how many solutions are possible for a given calculation.

Fractions work for students ready for more advanced work. This provides purposeful practice while challenging students to use fraction concepts to justify a maximum or minimum solution, or how many solutions are possible for a given calculation.

Decimals work for students ready for more advanced work. This provides purposeful practice while challenging students to use decimal and place value concepts to justify a maximum or minimum solution, or how many solutions are possible for a given calculation.

Fractions work for students ready for more advanced work. This provides purposeful practice while challenging students to use fraction concepts to justify a maximum or minimum solution, or how many solutions are possible for a given calculation.

An introduction to probability with two dice using a game called "Across the River". The game itself is free from the NZmaths website (https://nzmaths.co.nz/resource/across-river). This activity accompanies that game. This activity is to be done in groups so you can collect the number of students' dice rolls that totalled 2, 3, 4, etc. at each table. I also suggest making a simple google form to collect their data recordings. You will need two dice per pair of students who play the game. A free

A Mathematics Investigation for developing/finding the formula for the surface area of a cone and the surface area of a cylinder.

A mathematical investigation of the multiplication (compound events) rule in probability.

A Mathematics Invesigation of the addition rule (inclusion rule) for probability using lattice and venn diagrams.

A patterns investigation with scaffolding to help students investigate a pattern with number of handshakes based on number of people.

A blank printable booklet for students to record their working on any openers, "bellwork", problems of the day, etc.

A real-life application of vectors using a map of Salt Lake City, Utah, USA. Addresses concepts of magnitude and direction.

Problem Solving and Generalization with number operations