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Absolute value

 i-thikohk mwēci

Definition: An integer’s absolute value is its distance from zero on the number line [8].

A cartoon of a planet with trees and numbers. The distance between one large tree and a small tree is labelled as "4". The absolute value of negative four is four. And the absolute value of four is still four.
Figure 1.1 Absolute value refers to the distance from zero to a number, like the distance between trees. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Acute angle

 nōti-kahkahkīyaw

Definition: An angle that measures less than 90 degrees [8].

It is a drawing of a teepee. At the top, angles form between poles. Those less than 90 degrees are acute angles.
Figure 1.2 Acute angle. At the top, angles form between poles. Those less than 90 degrees are acute angles. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Acute triangle

(1) otōskwana-nisto


(2) ati-isko keka-mitahtātomitanaw 

 

Definition: An acute triangle has three angles that measure between 0 and 90 degrees [8].

It is a drawing of a tepee. Three red lines were drawn on the outline of the tepee. They form a triangle whose three angles are less than 90 degrees. It is an acute triangle.
Figure 1.3 Acute triangle. The outline of the tepee forms an acute triangle. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Add

māmiwi-akihta

Definition: It is a process to combine two or more quantities to find one quantity, called a total or a sum [1].

Addend

māmiwi-akihtasona

Definition: Addends are numbers being added together [8].

It is a drawing of a strawberry equation. Three strawberries add to two strawberries, equal to five. The three strawberries are called an addend.
Figure 1.4 Addends. The numbers being added are called an added. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Addition

takohakihcikewin

Definition: It is a mathematical operation of combining two or more numbers into a sum [1].

It is a visual representation of the mathematical operation - addition. Three strawberries plus two strawberries equals five.
Figure 1.5 Addition. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Addition property of equality

nāmawi-akicikiwin

Definition: The property states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true) [8].

If x equals to y, then when the same value a is added to both sides, they are still equal.
Figure 1.6 Addition property of equality. When the same quantity a is added to both sides of an equation, the equation does not change. Diagram by Ting Zhou. CC BY-NC 4.0.

Additive inverse

tēyakwac

Definition: An additive inverse is the opposite of a given number [8].

The additive reverse of number three is negative three.
Figure 1.7 Additive reverse. The additive reverse of three is negative three. Diagram by Ting Zhou. CC BY-NC 4.0.

Adjacent angles

(1) thikītakak (Woodland)


(2) wihkwehtakâw (Plain) 

 

Definition: Adjacent angles are angles that are side by side and have a common vertex and ray [8].

It is a drawing of the top of a tepee. There are several wooden poles stick out at the top. There are three adjacent poles labelled with red lines. They form two angles which share one common side. Those two angles are called adjacent angles.
Figure 1.8 Adjacent angles. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Algebra

algebra

Definition: Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structure [8].

Algebraic equation

algebra oci masinayikiwin

Definition: An algebraic equation is an equation that includes one or more variables [8].

Algebraic expression

algebra masinayikiwina

Definition: An algebraic expression is a mathematical expression that consists of variables, numbers and operations. The value of this expression can change.

It is an example of algebraic expressions. Five times x square, minus two times y, plus twelve. Number five and two are coefficient. Letter x and y are variables. And number twelve is constant.
Figure 1.9 An example of algebraic expressions. Diagram by Ting Zhou. CC BY-NC 4.0.

Algebraic numbers

algebra akihcikewina

Definition: An algebraic number is a number that is a root of a non-zero polynomial in one variable with rational coefficients [8].

Angle

 (1) wīhkwētakāw


(2) thikitākwaw (Woodland)

 

Definition: An angle is a figure formed by two rays that have a common endpoint. [8].

Angle measure

wīhkwētakāw kayispicak

Definition: The size of an angle is measured in degrees [8].

Arc

(1) wāki-yaw


(2) wakāw (Woodland) 

 

Definition: An arc is a part of a circle named by its endpoints [8].

It is a drawing of a globe with a quarter of it shows as a cross section. There is a red line tracing around the globe to form a circle. There is a vertical line start from the center of the circle and going through the circle, and there is a horizontal line starting from the center and cross the circle on the right-hand side. The two lines form a 90-degree angle. The cross points between the lines and circle form a smooth curve on the top right side, which is called an arc. It is a section of the curve between two points.
Figure 1.10 An arc. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Area

askiy

Definition: Area is the number of square units covering a closed figure [8].

There are three squares in the figure. The first square with a side of 1 centimetre has an area of 1 square centimetre. The second square with a side of 2 centimetre has an area of 4 square centimetre. The third square with a side of 3 centimetre has an area of 9 square centimetre.
Figure 1.11 Visualizing areas of squares. Diagram by Larissa Kitchemonia. CC BY-NC 4.0.

Area of a circle

pihcāyihk wāwiyiyaw

Definition: The area of a circle is the number of square units inside that circle [8].

The area of a circle, approximated by a near-rectangle, is composed of segments. which Illustrates the formula used to calculate area of a circle - area equals to pie times the square of radius.
Figure 1.12 Area of a Circle by User:Sven is licensed under CC BY-SA 3.0 DEED.

Area of a polygon

ka-tipastawa pihcāyihk

Definition: The area of a polygon is the number of square units inside that polygon [8].

Arithmetic

akihtāsowēpinikēwin

Definition: It is a branch of mathematics that studies the four operations (addition, subtraction, multiplication and division) of positive numbers [8].

Arithmetic expression

akihtāsowēpinikēwina

Definition: An algebraic expression is a mathematical expression that consists of numbers and arithmetic operators (such as addition, subtraction, multiplication, division, roots, exponents, and parentheses).

Arithmetic mean

akihtāsowēpinikēwin tastawāyak 

Definition: The arithmetic mean (also called the mean or average) of a list of numbers is the sum of all of the list divided by the number of items in the list [8].

There are three numbers in the figure - 5, 8, and 11. The arithmetic mean of those three numbers equals to 8 plus 8 plus 11 then divided by 3. It is 8.
Figure 1.13 Arithmetic mean. Diagram by Ting Zhou. CC BY-NC 4.0.

Arithmetic operations

akihtāsowēpinikēwin itihwina

Definition: The four basic arithmetic operations are addition, subtraction, multiplication and division [8].

Associative property

akihtāsowēpinikewin itwīwina

Definition: It is a property of addition and multiplication that allows the numbers being added or multiplied to be regrouped without changing the outcome of the operations [3].

Three numbers (three, two, and five) are multiplied. Their result is 30, which remains the same irrespective of how they are arranged and grouped.
Figure 1.14 Associative property. Three numbers are multiplied. The result remains the same irrespective of how they are grouped or arranged. Diagram by Ting Zhou. CC BY-NC 4.0.

Average

tastawāyak

Definition: The number obtained by dividing the sum of a set of numbers by the number of addends [8].

Axes

akask

Definition: Axes are the horizontal number line (x-axis) and the vertical number line (y-axis) on the coordinate plane. Axes are also the lines at the side and bottom of a graph [8].

It is a coordinate plane where x-axis is the horizontal line and y-axis is the vertical line.
Figure 1.15 A coordinate plane with the x-axis and y-axis labelled. Diagram by Ting Zhou. CC BY-NC 4.0.

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Cree Dictionary of Mathematical Terms with Visual Examples and Sound Copyright © 2024 by Arzu Sardarli is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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