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  • Alberta Standards
  • Mathematics: Pure Math 10b

Alberta - Mathematics: Pure Math 10b

Program of Studies | Adopted: 2002

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.

1: : Number


1.A: : Number Operations

1.A.1: : Use exact values, arithmetic operations and algebraic operations on real numbers to solve problems.

1.A.1.1: : Explain and apply the exponent laws for powers of numbers and for variables with rational exponents.

Screenshot of Dividing Exponential Expressions

Dividing Exponential Expressions

Choose the correct steps to divide exponential expressions. Use the feedback to diagnose incorrect steps. 5 Minute Preview


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Screenshot of Multiplying Exponential Expressions

Multiplying Exponential Expressions

Choose the correct steps to multiply exponential expressions. Use the feedback to diagnose incorrect steps. 5 Minute Preview


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2: : Patterns and Relations


2.A: : Patterns

2.A.1: : Generate and analyze number patterns.

2.A.1.2: : Use expressions to represent general terms and sums for arithmetic growth, and apply these expressions to solve problems.

Screenshot of Arithmetic Sequences

Arithmetic Sequences

Find the value of individual terms in arithmetic sequences using graphs of the sequences and direct computation. Vary the common difference and examine how the sequences change in response. 5 Minute Preview


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2.A.2: : Variables and Equations

2.A.2.2: : Factor polynomial expressions of the form ax² + bx + c, and a²x² - b²y².

Screenshot of Factoring Special Products

Factoring Special Products

Choose the correct steps to factor a polynomial involving perfect-square binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps. 5 Minute Preview


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Screenshot of Modeling the Factorization of <em>ax</em><sup>2</sup>+<em>bx</em>+<em>c</em>

Modeling the Factorization of ax2+bx+c

Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


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Screenshot of Modeling the Factorization of <em>x</em><sup>2</sup>+<em>bx</em>+<em>c</em>

Modeling the Factorization of x2+bx+c

Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


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2.A.2.4: : Divide a polynomial by a binomial, and express the result in the forms:

2.A.2.4.a: : P/D = Q + R/D

Screenshot of Dividing Polynomials Using Synthetic Division

Dividing Polynomials Using Synthetic Division

Divide a polynomial by dragging the correct numbers into the correct positions for synthetic division. Compare the interpreted polynomial division to the synthetic division. 5 Minute Preview


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3: : Statistics and Probability


3.A: : Chance and Uncertainty

3.A.1: : Make and analyze decisions, using expected gains and losses, based on the probabilities of simple events.

3.A.1.1: : Connect probabilities to calculated expected gains or losses.

Screenshot of Probability Simulations

Probability Simulations

Experiment with spinners and compare the experimental probability of particular outcomes to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes. 5 Minute Preview


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Screenshot of Theoretical and Experimental Probability

Theoretical and Experimental Probability

Experiment with spinners and compare the experimental probability of a particular outcome to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes. 5 Minute Preview


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3.A.1.2: : Solve decision-making problems involving expected values, and communicate the solutions.

Screenshot of Lucky Duck (Expected Value)

Lucky Duck (Expected Value)

Pick a duck, win a prize! Help Arnie the carnie design his game so that he makes money (or at least breaks even). How many ducks of each type should there be? What are the prizes worth? How much should he charge to play? Lucky Duck is a fun way to learn about probabilities and expected value. 5 Minute Preview


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Correlation last revised: 9/16/2020

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© 2025 ExploreLearning. All rights reserved. Gizmo and Gizmos are registered trademarks of ExploreLearning. STEM Cases, Handbooks and the associated Realtime Reporting System are protected by US Patent No. 10,410,534

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