High Frequency Low Stakes Quizzes for a unit on number properties. This includes squares and cubes, operations with 0 and 1, Roots, Divisibility rules, prime and composite numbers, factors and multiples. 7 quizzes in total.
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
A task that provides purposeful practice with integers while challenging students to find the greatest/least sum/product and many other challenges with groups of integers.
Mathematics Investigation to help students determine the method for finding the result of two optimization problems: 1) the maximum area of a rectangle, given a perimeter 2) the minimum perimeter of a rectangle, given an area
A set of quizzes for students learning about integers. HFLS = High Frequency Low Stakes. The purpose of these quizzes is to check for understanding with a short quiz on essential knowledge.
Four Tasks for introducing and practicing finding equations for linear patterns. These tasks prompt students to begin asking the question "how do I know this is true?"
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 guided inquiry task to help students see the features of quadratic graphs that are linked to the different equation forms of a quadratic function (vertex form, factored form, standard form). I have available another task that does this, but that task provides context questions in each of the available forms. This task provides only equations to graph with the help of tables of values and the GDC. Since this task is context free, it can help strip away layers of complexity so students may focus
A mathematics investigation of the graphical properties of functions and their inverses. This helps students to discover the reflective property of graphs of inverses and can start students on the process of noticing the relationships between equations of functions and their inverses.
A mathematical investigation of different kinds of function transformations. The task requires use of a graphing tool and leads students to explore vertical and horizontal stretches and compression and vertical and horizontal translations. The task also has students explore these with different functions, which helps them to appreciate the variety of non-linear functions that exist.
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.
An investigation task which challenges students to use their knowledge of the pythagorean theorem to create a general equation for the length of a helix. Potentially could be developed into an assessment task.
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 task that provides purposeful practice with integers while challenging students to find the greatest/least difference/quotient and many other challenges with groups of integers. Buy alone or in a bundle