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Algebra 1 - Simplifying Square Roots
This post explains and give practice opportunities related to TEKS A.11A: simplify numerical radical expressions involving square roots Instruction Students learn how use perfect squares to simplify larger square root expressions. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard has been tested 8 times on the STAAR test. Videos explaining the problems can be found below. If you'd rather take a quiz over these questions, click here .
Aaron Daffern
Aug 2, 20231 min read
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Algebra 1 - Difference of Squares
This post explains and gives practice opportunities related to TEKS A.10F: decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial Instruction Students learn how to notice and use the difference of squares to factor a binomial. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard has been tested 5 times on the STAAR test. Videos expla
Aaron Daffern
Jul 31, 20231 min read
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Algebra 1 - Factoring Trinomials
This post explains and gives practice opportunities related to TEKS A.10E: factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two Instruction Students learn to use the diamond method to factor a trinomial into two binomials (where a, the leading coefficient, is greater than one). STAAR Practice Between 2016 and 2025 (including redesign practice), this readiness standard has been tested 26 times on the STAA
Aaron Daffern
Jul 27, 20231 min read
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Algebra 1 - Rewriting Polynomials
This post explains and gives practice opportunities related to TEKS A.10D: rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property Instruction Students learn how to rewrite polynomials using the distributive property. STAAR Practice Between 2016 and 2025, this supporting standard has been tested 5 times on the STAAR test. Videos explaining the problems can be found below. If you'd rather take a quiz over these questions,
Aaron Daffern
Jul 25, 20231 min read
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Algebra 1 - Dividing Polynomials
This post explains and gives practice opportunities related to TEKS A.10C: determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend Instruction Students learn how to divide polynomials (expressions with constants, variables, and/or exponents) using factoring, splitting the binomial, and long division. STAAR
Aaron Daffern
Jul 25, 20231 min read
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Algebra 1 - Multiplying Polynomials
This post explains and gives practice opportunities related to TEKS A.10B: multiply polynomials of degree one and degree two Instruction Students how to multiply polynomials (expressions with constants, variables, and/or exponents) using the distributive property, FOIL, and the box method. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard has been tested 7 times on the STAAR test. Videos explaining the problems can be found below. If
Aaron Daffern
Jul 24, 20231 min read
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Algebra 1 - Adding and Subtracting Polynomials
This post explains and gives practice opportunities related to TEKS A.10A: add and subtract polynomials of degree one and degree two Instruction Students how to add and subtract polynomials (expressions with constants, variables, and/or exponents) by combining like terms. STAAR Practice Between 2016 and 2025, this supporting standard has been tested 5 times on the STAAR test. Videos explaining the problems can be found below. If you'd rather take a quiz over these questions,
Aaron Daffern
Jul 23, 20231 min read
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Algebra 1 - Exponential Regression
This post explains and gives practice opportunities related to TEKS A.9E: write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems Instruction Students learn to use a graphing calculator to write exponential functions. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard has been tested 5 times on the STAAR test. Videos explaining the problems can be found below. I
Aaron Daffern
Jul 22, 20231 min read
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Algebra 1 - Graphing Exponential Functions
This post explains and gives practice opportunities related to TEKS A.9D: graph exponential functions that model growth and decay and identify key features, including y- intercept and asymptote, in mathematical and real-world problems Instruction Students learn to how to graph exponential functions information in a real-life scenario or in an equation. Students also learn how to identify key features of an exponential function, such as the y-intercept and the asymptote. Here
Aaron Daffern
Jul 18, 20231 min read
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Algebra 1 - Writing Exponential Functions
This post explains and gives practice opportunities related to TEKS A.9C: write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay Instruction Students learn to how to write exponential functions when given x- and y-coordinates on a table. Students also learn how to write exponential functions when given information in a word problem. Finally, studen
Aaron Daffern
Jul 13, 20231 min read
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Algebra 1 - Interpreting Exponential Functions
This post explains and gives practice opportunities related to TEKS A.9B: interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems Instruction Students interpret real-world situations involving exponential functions, applying their knowledge to identify the initial amount (principal) and the rate of change. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard has been tested 8
Aaron Daffern
Jul 12, 20231 min read
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Algebra 1 - Domain and Range of Exponential Functions
This post explains and gives practice opportunities related to TEKS A.9A: determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities Instruction Students apply their knowledge of domain and range to exponential functions. STAAR Practice Between 2016 and 2025, this supporting standard has been tested 7 times on the STAAR test. Videos explaining the problems can be found below. If you'd rather take a quiz
Aaron Daffern
Jul 10, 20231 min read
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Algebra 1 - Real-world Quadratic Functions
This post explains and gives practice opportunities related to TEKS A.8B: write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems Instruction Students use a graphing calculator to calculate quadratic regression, which finds the parabola of best fit for a set of data. STAAR Practice Between 2016 and 2025, this supporting standard has been tested 5 times on the STAAR test. Videos expla
Aaron Daffern
Jul 7, 20231 min read
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Algebra 1 - Solving Quadratic Equations
This post explains and gives practice opportunities related to TEKS A.8A: solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula Instruction Students learn to how to solve quadratic functions using a variety of techniques, such as factoring and square roots. Students also learn how to complete the square to solve quadratic equations. Finally, students learn to use the quadratic formula to so
Aaron Daffern
Jul 4, 20231 min read
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Algebra 1 - Parent Functions
This post explains and gives practice opportunities related to TEKS A.7C: determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d Instruction Students learn to how quadratic function graphs are changed when the parent function is given a multiplier or an addend. Here are some activities you can use to teach this standard. STAAR Practice Between 2016 and 2025 (including
Aaron Daffern
Jul 1, 20231 min read
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Algebra 1 - Attributes of Quadratic Function Graphs
This post explains and gives practice opportunities related to TEKS A.7A: graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x- intercept, y- intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry Instruction Students learn to identify the vertex, minimum value, and maximum value of quadratic function graphs. Students also learn to identify the zeros and the intercep
Aaron Daffern
Jun 22, 20231 min read
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Algebra 1 - Solutions, Graphs, and Quadratic Functions
This post explains and gives practice opportunities related to TEKS A.6C: write quadratic functions when given real solutions and graphs of their related equations Instruction Students learn to use the factored form [f(x) = a(x-u)(x-v)] of the quadratic function to write equations when given a graph or solutions. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard has been tested 8 times on the STAAR test. Videos explaining the problem
Aaron Daffern
Jun 19, 20231 min read
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Algebra 1 - Linear Inequalities and the Distributive Property
This post explains and gives practice opportunities related to TEKS A.5B: solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides Instruction Students learn to find solutions for systems of inequalities by using the distributive property and isolating the variable. STAAR Practice Between 2016 and 2025 (including redesign practice), this supporting standard
Aaron Daffern
Jun 7, 20231 min read
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Algebra 1 - Linear Equations and the Distributive Property
This post explains and gives practice opportunities related to TEKS A.5A: solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides Instruction Students practice the steps needed to solve an equation that requires the use of the distributive property and possibly has variables on both sides of the equal sign. Here are some activities  you can use to teach this
Aaron Daffern
May 30, 20231 min read
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Algebra 1 - Writing Linear Functions
This post explains and gives practice opportunities related to TEKS A.4C: write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems Instruction Given a scatterplot or a set of coordinate pairs, students learn to estimate a reasonable fit by writing a linear function. STAAR Practice Between 2016 and 2025, this supporting standard has been tested 6 times on the STAAR test. Videos
Aaron Daffern
May 28, 20231 min read
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