You create a customized, 100% online course specific to your interests and classroom needs, by selecting from over 100 modules organized by state standard.
We package your choices into a master's level course.
You get master's credit from the nationally ranked Emma Eccles Jones College of Education at Utah State University.
Select a module to learn more about it or use the filters to find a topic.
This module addresses counting to answer “how many?” questions about as many as 20 objects in various arrangements, and counting out up to 20 objects.
This module addresses description of measurable attributes, such as length or weight, and the comparison of measurable attributes using “more of” and “less of” the common attribute.
This module addresses counting and classifying data, including categorizing and sorting categories by count.
The module addresses composing and decomposing numbers from 11 to 19 into tens and some further ones, serving as foundations for place value.
This module addresses representing addition and subtraction using various methods, including objects, fingers, actions, explanations, and equations.
This module addresses solving addition and subtraction word problems, and adding and subtracting within 10, such as by using objects or drawings to represent the problem.
This module addresses decomposing numbers less than or equal to 10 into pairs, using multiple representations, including recording decomposition with a drawing or equation.
This module will cover the goal of shape study and the levels of geometric thought. Especial focus will be on students’ understanding of shapes at the most base level--defining shapes by general appearance--and how to help students begin the transition to the more sophisticated levels of geometric thinking.
This module reviews students’ learning trajectory for counting and how to help students understand and count fluently large numbers beyond the century mark.
This module addresses computational fluency in general, as well as various appropriate computation strategies for acquiring computation fluency.
This module addresses problem solving in common addition and subtraction situations: adding to, taking from, putting together, taking apart, and comparing.
This module builds on part 1 by addressing additional strategies and considerations for teaching through word problems.
This module draws from several different standards in the second grade numbers and operations domain. The importance of students’ understanding the properties of operations, and how to develop that understanding is covered, with a focusing on the most commonly used properties of addition.
This module explores how students’ counting within a thousand develops their understanding of the place value system and how to support development of that understanding.
This module is the first of a two part series and covers how to help students develop computation fluency in addition and subtraction for two-digit numbers using strategies based on place value.
This module is the second of a two part series; in this second part more explicit attention on is placed on helping students understand and explain why addition and subtraction strategies based on place value work and extending those strategies to two-digit numbers.
This module is the first of a two part series and covers how to help students develop fluency in addition and subtraction for three-digit numbers using concrete models, drawings or strategies based on place value. How to provide students with verbal opportunities to explain why these strategies work is highlighted.
This module is the first of a two part series and covers how to help students develop fluency in addition and subtraction for three-digit numbers by using more generalized strategies of place value. Teaching composition and decomposition of tens and hundreds and extending mental math to three-digit numbers is highlighted.
This module is the first of a three-part series and addresses the four addition and subtraction word problem situations, focusing on adding to and taking from situations, finally applying strategies from these two situations to two step problems.
This module is the second in a three-part series and addresses the second set of addition and subtraction word problem situations: putting together/taking apart and comparing, and ends with an analysis of typical problem situation difficulties.
This module is the third in a three-part series and addresses representations and strategies students use to solve addition and subtraction word problems.
This module addresses the meaning of fluency and the learning trajectory of fluency acquisition, and focuses on teaching addition strategies and using understandings of addition strategies to discover the related subtraction facts.
This module explores third grade students’ prior fraction instruction and informal fraction knowledge. Building on this knowledge, the importance of and teaching unit fractions is covered as well, as building on informal knowledge through sharing situations, and models and manipulatives for learning the meaning of fractions.
This module explores what it means for students to develop an understanding of fractions, specifically an understanding of fractions as numbers on the numbers line.
In this module, part one of a two part series on fraction equivalence, we first focus on fraction equivalence and what it means for students to develop an understanding of equivalent fractions. Explore ways to develop understanding of equivalent fractions, including models and manipulatives for understanding, recognizing, and generating equivalent fractions.
In part two on fraction equivalence, we progress to deepening students understanding of equivalent fractions through equal sharing problems and expressing whole numbers as fractions. Synthesizing part one and two, we explore what it means to teach equivalent fractions, and students’ further progression in understanding equivalent fractions.
This module explore what it means to compare fractions and the concepts for comparing fractions. Next the module addresses teaching students, through models and manipulatives, to use their understanding of the meaning fractions as numbers to compare fractions.
In Part 1 of the Multiplication and Division in Word Problem Situations modules, we will introduce the types of multiplication and division word problem situations taught in the 3rd grade, and then focus on the equal group situations.
In Part 2 of the Multiplication and Division in Word Problem Situations modules, we will explore arrays, area, and measurement word problem situations. To tie together concepts of array situations and area examples of array situations, we address the utility of mini-lessons in the context of arrays to explore the big ideas of multiplication.
In Part 3 of the Multiplication and Division in Word Problem Situations modules, we build on the first two modules by focusing on the ways students solve these problem situations--their strategies and representations for solving the word problem situations.
This module focuses on the properties of multiplication, first on why properties of multiplication are prominent in the third grade standards, next on teaching the commutative, associative, and distributive properties, and lastly on division as an unknown-factor problem.
This module focuses on what it means to fluently multiply and divide within 100, strategies for multiplication, and ways to help students develop fluency and meet the goal of knowing all one-digit by one-digit products.
This module focuses on the Big Idea of classifying properties of objects by building definitions and using counterexamples through conjecturing, solving, explaining, and proving.
This module focuses on how geometric thinking involves developing, attending to, and learning how to work with imagery with a focus on drawing points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines and identifying these in two-dimensional figures. The module accomplishes this through the pedagogical lenses of “teaching and learning” and “tools and technology”.
This module focuses on how geometric thinking involves developing, attending to, and learning how to work with imagery with a focus on classifying two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size, recognizing right triangles as a category, and identifying right triangles. The module accomplishes this through the pedagogical lenses of “teaching and learning” and “tools and technology”.
This module focuses on how geometric thinking involves developing, attending to, and learning how to work with imagery with a focus on recognizing a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts, identifying line-symmetric figures, and drawing lines of symmetry. The module accomplishes this through the pedagogical lenses of “teaching and learning” and “tools and technology”.
This module focuses on students’ development and interpretation of non-standard algorithms.
This module examines concepts of multi-digit place value, relationships in base ten, and comparing multi-digit numbers. Teaching strategies for developing conceptual understanding before and with procedural understanding are also discussed.
This module addresses building on multi-digit place value, relationships in base ten, and comparing multi-digit numbers with different types of rounding and estimation. Teaching strategies for developing conceptual understanding before and with procedural understanding are also discussed.
This module addresses gaining fluency with addition and subtraction through developing and demonstrating conceptual understanding and building toward standard algorithms.
This module addresses developing conceptual and procedural understanding of multi-digit whole number multiplication through alternative algorithms and strategies, including the use of place value and properties of operations.
This modules addresses developing conceptual and procedural understanding of multi-digit whole number division through alternative algorithms and strategies, including the use of place value and relationships between multiplication and division.
This module addresses developing proportional reasoning and related fraction skills through concepts, manipulatives, and formative assessments.
This module addresses building understanding of fraction equivalence through visual fraction models, using unitizing and equivalence to recognize and generate equivalent fractions.
This modules addresses developing strategies for comparison of fractions, focusing on part-whole fraction models and connected representations.
This module addresses solving fraction addition and subtraction word problems involving joining and separating parts referring to the same whole.
This module addresses solving fraction addition and subtraction word problems involving composition and decomposition of fractions referring to the same whole.
This module addresses solving fraction addition and subtraction word problems involving mixed numbers with parts referring to the same whole.
This module addresses solving word problems involving a fraction multiplied by a whole number using understanding of fractions as multiples.
This module addresses solving word problems involving a fraction multiplied by a whole number using understanding of fractions as multiples of multiples.
This module addresses connecting fractions with denominators of 10 or 100 with decimal notations, and using this knowledge in addition and comparison.
This module focuses on five essential understandings that include the fundamental properties of numbers and operations, the relationship between algebra and these fundamental properties, using computation to deepen algebraic understanding, decomposing quantities as a foundation for later algebraic concepts, and various arithmetic opportunities for developing generalizations of arithmetic, and thus, algebra.
This module addresses developing understanding of multiplication as comparison and applying this understanding to multiply and divide in multiplicative comparison word problems.
This module addresses solving multi-step word problems using any combination of operations, including interpreting problem situations, approaches to solving word problems, using letters to represent unknown quantities, and estimation strategies.
This module addresses finding factors and multiples with connections to prime numbers and composite numbers.
This module addresses generating number patterns based on rules and rules based on patterns, supported by appropriate justifications.
This module addresses generating shape patterns based on rules and rules based on patterns, supported by appropriate justifications.
This module addresses introducing students to coordinate planes, including important definitions and terminology, plotting points, and plotting lines.
This module examines some fundamentals of geometric thinking, then examines the classification process for quadrilaterals based on their attributes and characteristics.
In this module we will learn of the classification of non quadrilateral polygons by their important attributes and characteristics, the classification process and relationships between classification attributes.
In this module we will cover the history of the metric system and learn the basic elements of and strategies for converting measurements within the metric system.
This module describes how to introduce beginning volume concepts to students through the building of the three dimensional and unit measurements concepts.
This module covers understanding and teaching place-value relationships. The importance of understanding place-value relationship, the key characteristics of our Hindu-Arabic numeration system in contrast with other systems, and strategies for teaching place-value understanding will be covered.
This module focuses on introducing students to scientific notation and four understandings students should develop in their study of scientific notation: developing visual representations of powers of ten, develop multiple representations of numbers, understand the difference between exponents of ten, develop an understanding the magnitude of the powers of ten.
This module addresses the different representations to use when helping students develop decimal reading and writing skills, the big ideas in decimal understanding, leading up to understanding decimal comparisons.
This module addresses developing conceptual understanding of multiplication and focuses on teaching the standard multiplication algorithm.
This module focuses on the big ideas of multiplication and the teaching of six alternative multiplication strategies.
This module gives ideas of how to support students who struggle with estimation skills as they learn double digit division.
This module covers the concepts or big ideas of division and focuses on teaching the standard division algorithm.
This module builds on the the big ideas of division highlighting the difficulties of using the standard division algorithm and focusing on alternative division strategies.
This module addresses background information of decimal multiplication and division and the four main approaches to teaching multiplication and division of fractions: the estimation, fraction, area model, and compensation approaches.
This module focuses on multiplicative thinking as a foundational math skill essential to the mastery of multiplication, fractions, and decimals. Instruction addresses multiplicative thinking, highlights importance, how this type of more relative thinking develops, and how teachers can encouraging this development.
This module addresses how arrays, sometimes known as area models, can help deepen students understand of multiplication and division both of whole numbers and fractions.
Learn to identify and evaluate the affordances of web and iPad sites available for teaching fraction concepts.
Although most 5th grade students have been introduced to equivalent fraction, many are limited in their conceptual and procedural understandings. This module addresses methods to deepen students’ understanding.
This module addresses information and concepts for fraction addition and subtraction. This module will also cover the sequence and big ideas of instruction.
This module addresses information and concepts for the multiplication of fractions, including some of the difficulties involved with teaching fraction multiplication.
This module addresses information and concepts for division involving fractions and whole numbers, including mixed numbers.
This module addresses division of fractions by fractions, including conceptual development and standard algorithms.
This module introduces the concept of order of operations, why order of operations is important, and provides three different methods for teaching students the order of operations and four order of operation activities.
In this module the teaching of composing and decomposing expressions and ideas of how to make algebra expressions come alive to your students will be discussed.
Learn how to teach students to recognize, complete and graph patterns and relationships.
This module addresses students’ different levels of understanding geometry concepts, their learning trajectory through these levels, and how to assess their current level of understanding.
This module addresses teaching techniques for determining the area of triangles and parallelograms by considering the rectangle encompassing the original shape. This module must be taken with 6.G.A.1 - Part 2: Finding Area by Triangle Composition.
This module addresses teaching techniques for determining the area of polygons by breaking the shape into smaller, more manageable pieces (i.e., triangles). This module must be taken with 6.G.A.1 - Part 1: Finding Area by Rectangle Composition.
This module addresses teaching techniques for determining the volume of right rectangular prisms with fractional edge lengths.
This module will focus on how students develop a conceptual understanding of using the coordinate grid system, including finding distance and lengths.
This module addresses teaching techniques for developing a conceptual understanding of surface area by determining the nets of three-dimensional figures.
This module addresses the over-arching concept of rational numbers in the sixth grade curriculum. Rational number reasoning, equipartitioning, and assessing students’ understanding of rational numbers will be covered.
This module addresses the basic concepts of positive and negative numbers in real-world contexts.
This module addresses teaching techniques to help students recognize positive and negative locations on the number line.
This module addresses how to develop students’ understanding of all four quadrants of the coordinate plane..
This module addresses teaching techniques designed to help students develop a conceptual understanding of the ordering positive and negative numbers on a number line.
This module addresses teaching techniques for developing conceptual understanding of absolute value as compared to the magnitude of rational numbers.
This module addresses teaching techniques for helping students connect the coordinate plane to real-world situations.
This module addresses the big idea of proportional reasoning in the sixth grade curriculum and discusses different levels of students’ proportional reasoning.
This module will address how to teach sixth grade students the basics of ratios and proportions and how to articulate ratios and ratio concepts.
This module will address rates as special types of ratios in the sixth grade curriculum, focusing on using ratio reasoning to solve problems.
This module will address how to teach students to use ratio tables and coordinate planes to represent proportional relationships.
This module will address unit pricing and constant speed as special contexts for using ratios and proportions.
This module addresses how to teach percentages as special cases of proportional relationships.
This module addresses how to teach students how to use ratios and proportions when converting measurement units.
This module focuses on the identification and creation of statistical questions.
This module focuses on the basic analysis of data distributions.
This module focuses on the meaning of mean and median.
This module focuses on the meaning of interquartile range and mean absolute deviation.
This module focuses on the creation and interpretation of dot plots, histograms, and box plots.
In this module, you will be introduced to creating a road map for mathematical coaching and the big ideas of coaching, teaching, and learning.
In this module, you will explore content and tools associated with content knowledge and worthwhile tasks and engaging students.
In this module, you will review high-level questioning and facilitating discourse, including a discussion of talk moves.
In this module, you will gain an overview of formative assessment and analyzing student work and think about coaching considerations for professional learning.
In this module, you will gain an overview of ideas for how to support a teacher or a group of teachers in learning about differentiated instruction.
In this module, you will recognize that the job of a mathematics specialist takes more than being and good teacher and learn about support functions of an effective coach.
In this module, you will gain an overview of the leadership expectations of a mathematics specialist and learn strategies for planning, implementing, and evaluating professional development.
In this module, you will summarize strategies for managing instructional resources and putting them to effective use in a school and learn about how to find grant support for math coaches.
In this module, you will gain an overview of Professional Learning Communities (PLCs) and strategies for effective facilitation of PLCs.
This leadership module focuses on how to use school-based data to drive decision-making that has a positive impact on mathematics instruction and learning. The module examines key elements of the data driven decision making process and takes an in-depth look at a school and university partnership that used data-driven decision making to influence teachers’ instructional practices and impact students’ mathematics achievement.
Modules include the latest standard-specific research and publications.
Frequent communication and feedback from a Utah State University instructor.
Printable certificates awarded upon completion of each module.