One-to-one correspondence, numeral identification, and comparison of quantities using terms like greater than or less than. Establishes the foundation for numerical literacy and early arithmetic operations.
Extends number sense to 100, emphasizing place value (tens and ones), magnitude comparison, and identifying patterns in the 100-chart.
Develops the ability to compose and decompose numbers within 20, focusing on the power of 10 and building basic addition/subtraction fact fluency.
Focuses on identifying numbers to 20, mastering 1:1 correspondence through physical and visual counting, and developing perceptual subitizing skills.
A comprehensive lesson on identifying US currency, counting totals, and calculating change up to $10 using a marketplace theme.
A set of daily choral count warm-ups focusing on skip-counting patterns within 100 to build number sense and preparation for mental subtraction.
Students demonstrate their mastery of all subtraction strategies in a comprehensive unit assessment themed around the Olympic Medal Ceremony.
Students practice choosing the most efficient mental math strategy for various subtraction problems, using a skiing slalom theme to visualize navigating different obstacles.
Students extend their doubles strategy to solve subtraction problems that are two away from a double fact (e.g., 16 - 6).
Students use their knowledge of doubles to solve subtraction problems that are just one away from a double fact (e.g., 15 - 7).
Students learn to subtract 7 by first 'pretending' it's 10 and then adjusting by adding 3 back, rounding out the "Pretend 10" strategy block.
Students learn to subtract 8 by first 'pretending' it's 10 and then adjusting by adding 2 back, continuing the speed skating theme.
Students learn to subtract 9 by first 'pretending' it's 10 and then adjusting by adding 1 back, visualizing the speed skating track.
Students use double ten-frames to visualize the 'Making 10' strategy, moving pucks to fill the first frame before subtracting the rest.
Students learn to decompose the subtrahend to subtract through 10, using a hockey theme to visualize hitting the target of 10 first.
Students use 'Open Number Lines' to visualize subtraction as distance, specifically for problems where counting back is less efficient.
Students refine their number line strategy by learning to jump back to 10 first, then the rest, for more efficient subtraction.
Students learn to use a number line to subtract by 'jumping back' along a track, using a bobsled theme to visualize the path.
Students use their knowledge of doubles to solve subtraction facts (halves), visualizing the symmetry of a snowboarding half-pipe.
Students focus on the 'Friends of 10' subtraction facts, using the goal line in hockey to visualize how many more are needed to reach the total of 10.
Students practice the 'Counting Up' strategy for finding small differences, using the curling target (the house) to visualize distance between numbers.
A collection of teacher-facing tools including scoring keys, result interpretation guides, and class-wide data tracking charts to help educators act on diagnostic findings.
A diagnostic assessment for 5th-grade students focusing on decimal operations, powers of 10, multi-digit division, and adding/subtracting fractions with unlike denominators.
A diagnostic assessment for 4th-grade students targeting multi-digit multiplication and division, place value to 1,000,000, fraction equivalence, and basic decimal notation.
A diagnostic assessment for 3rd-grade students covering rounding, multi-digit addition/subtraction, multiplication and division concepts, and introductory fraction understanding.
A diagnostic assessment for 2nd-grade students focusing on place value to 1,000, addition and subtraction within 100, and early foundations of multiplication through arrays.
A collection of 9 standardized probes and tracking tools to monitor student growth in number sense and fractions.
A lesson where students use numerical data and counting to track the movement of water through the water cycle, focusing on interpreting charts and comparing quantities.
Students practice rapid fluency by choosing the best strategy for a series of mixed problems in a timed hockey sprint.
Students practice the fastest tricks for subtracting numbers that are 9, 8, or 7 away from the total.
Students refine their subtraction fluency by learning to choose the most efficient strategy for any given problem.
Students master facts that are close to doubles by relating them to their halves fluency, using a skeleton racing theme to emphasize speed and precision.
