Illustrative Mathematics
Illustrative Mathematics: G Gpe Slopes and Circles
The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever angle AXB is a right angle. This consists of...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Explaining the Equation for a Circle
This problem examines equations defining different circles in the x-y plane. Students must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra worksheet...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Equal Area Triangles on the Same Base Ii
This task has students apply their knowledge of parallel lines to solve a geometric problem on areas of triangles. The task is open-ended in that students can choose their method of completing the task. Aligns with G-GPE.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Equal Area Triangles on the Same Base I
This task is a relatively easy application of the formula for the area of a triangle and the use of parallel lines. Aligns with G-GPE.B.5.
Illustrative Mathematics
Illustrative Mathematics: Shape Hunt Part 2
The objective of this game is for students to find and identify shapes by going on a scavenger hunt. Students go to the assigned area with a blank paper with 6 empty slots. When the student finds a shape they can copy it onto their paper...
Illustrative Mathematics
Illustrative Mathematics: Shape Sequence Search
This activity tests the student's understanding of patterns. The teacher will read a pattern and the student will find the row or column that contains each sequence. Example included.
Illustrative Mathematics
Illustrative Mathematics: Shape Hunt Part 1
Young scholars will take part in a scavenger hunt for shapes. Teachers will hide numbered, pre-cut shapes around the classroom. Students will hunt for the shapes with a blank paper with 6 empty slots. When the student finds a shape they...
Illustrative Mathematics
Illustrative Mathematics: Alike or Different Game
Students work in pairs and take turns drawing two cards. These cards have pictures of different shapes. The students are asked to describe what is similar or different between the two shapes. This type of task lays the foundation for the...
Illustrative Mathematics
Illustrative Mathematics: Teen Go Fish
Students will play "Go Fish" using teen numbers to practice identifying these numbers.
Illustrative Mathematics
Illustrative Mathematics: Rainbow Number Line
The teacher will prepare number lines for the young scholars to trace. These number lines can be taped to the desk to be used for number recognition, sequencing, counting, "number forward", and "number backward" activities. An example is...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Parallel Lines in the Coordinate Plane
The goal of this task is to prove the slope criterion for parallel lines. Aligns with HSG-GPE.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe When Are Two Lines Perpendicular?
The goal of this task is to examine when two lines in the plane are perpendicular in terms of their slopes. Aligns with HSG-GPE.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Scaling a Triangle in the Coordinate Plane
The goal of this task is to apply dilations to a triangle in the coordinate plane. Students will need to find the coordinates of a point which cuts a given segment into one third and into two thirds. The two dilated triangles share a...
Illustrative Mathematics
Illustrative Mathematics: G Gpe, N Rn, F Tf Coordinates of Equilateral Triangles
In this task, students are asked if there is an equilateral triangle ABC where two vertices are on the x-axis, and all vertices have integer coordinates. Aligns with G-GPE.B, N-RN.B, and F-TF.C.9.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Squares on a Coordinate Grid
The purpose of this task is to use the Pythagorean Theorem and knowledge about quadrilaterals in order to construct squares of different sizes on a coordinate grid. Aligns with G-GPE.B.7.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Defining Parabolas Geometrically
The purpose of this task is to show that the points on a parabola can be characterized by being equidistant from a point (the focus) and a line (the directrix). Aligns with HSG-GPE.A.2.
Illustrative Mathematics
Illustrative Mathematics: Goodie Bags
Pairs of students will compare 3 quantities and order them from least to greatest. Students will select a pre-filled baggie and sort and count the contents. They will then arrange each group in order from least to most. This activity can...
Illustrative Mathematics
Illustrative Mathematics: Which Number Is Greater? Which Number Is Less?
The teacher will show the class two groups of objects or drawings of objects for the students to compare using greater than/less than language. Students will discuss in pairs how they know which number is greater or less than the other...
Illustrative Mathematics
Illustrative Mathematics: The Napping House
The teacher reads "The Napping House" to the class, stopping each time a person or animal gets into the bed so the students can add a counter to the ten-frame. Ten-Frame printable is included.
Illustrative Mathematics
Illustrative Mathematics: Number Rods
This activity gives young scholars practice counting for meaning using unifix cubes or snap cubes. Students will count the number of unifix cubes then match the rod up to the correct number on a number line. Extension activities are...
Illustrative Mathematics
Illustrative Mathematics: G Gpe a Midpoint Miracle
In this task, students are asked to draw a quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel. The task gives students the opportunity to prove that if we join the midpoints of a...
Illustrative Mathematics
Illustrative Mathematics: G Gpe, F Tf Coordinates of Points on a Circle
For this task, young scholars are shown a unit circle in a plane and an angle measured from the x-axis. They must determine the coordinates of the line segment for the angle and answer a question about the sum of the coordinates. The...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Triangle Perimeters
Students are shown two triangles touching points on a coordinate grid and are asked to answer questions about their perimeters. The purpose of this task is to apply the Pythagorean theorem to calculate distances and areas. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3 and a rei.d.12: Fishing Adventures 3
During this illustrated instructional activity, students will write and solve inequalities, and they will represent their solutions graphically. Aligns with A-CED.A.3 and A-REI.D.12.