When I Jump Out of Bed by American composer Mary Leaf is a Modern era work from the method called Succeeding at the Piano. It’s an Early Elementary work featuring Grand Staff Notation and Ties.
The Trumpeter and the Echo Op. 89, No. 15 by Russian composer Dmitri Kabalevsky is a 20th Century work from his set called 35 Easy Pieces. It’s an Early Elementary work featuring Imitation and Melodic 4ths.